A Novel Formulation of the Fractional Derivative with the Order <inline-formula><math display="inline"><semantics><mrow><mi>α</mi><mo>≥</mo><mn>0</mn></mrow></semantics></math></inline-formula> and without the Singular Kernel
A new definition of fractional derivative (NFD) with order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>α</mi><mo>≥</mo><mn>0</mn></mrow></semantics>&...
| Published in: | Mathematics |
|---|---|
| Main Authors: | Hassan Kamil Jassim, Mohammed A. Hussein |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-11-01
|
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/21/4123 |
Similar Items
Existence of Solutions to a System of Fractional <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="fraktur">q</mi></mrow></semantics></math></inline-formula>-Difference Boundary Value Problems
by: Alexandru Tudorache, et al.
Published: (2024-04-01)
by: Alexandru Tudorache, et al.
Published: (2024-04-01)
The Dynamics of <inline-formula><math display="inline"><semantics><mrow><msubsup><mrow><mi>NO</mi></mrow><mn>3</mn><mo>−</mo></msubsup></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><msubsup><mrow><mi>NH</mi></mrow><mn>4</mn><mo>+</mo></msubsup></mrow></semantics></math></inline-formula> Uptake in Duckweed Are Coordinated with the Expression of Major Nitrogen Assimilation Genes
by: Yuzhen Zhou, et al.
Published: (2021-12-01)
by: Yuzhen Zhou, et al.
Published: (2021-12-01)
Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional <inline-formula><math display="inline"><semantics><mrow><mi>r</mi><mo>(</mo><mo>·</mo><mo>)</mo></mrow></semantics></math></inline-formula>-Laplacian in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>N</mi></msup></mrow></semantics></math></inline-formula>
by: Yun-Ho Kim
Published: (2023-02-01)
by: Yun-Ho Kim
Published: (2023-02-01)
Finiteness of <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></mrow></semantics></math></inline-formula> Super-Yang–Mills Effective Action in Terms of Dressed <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">N</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula> Superfields
by: Igor Kondrashuk, et al.
Published: (2023-11-01)
by: Igor Kondrashuk, et al.
Published: (2023-11-01)
General New Results on <inline-formula><math display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>ϕ</mi><mo>,</mo><mi mathvariant="script">F</mi></mrow><mo>)</mo></mrow><mo>−</mo></mrow></semantics></math></inline-formula>Contractions in <inline-formula><math display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>Metric-like-Spaces
by: Kastriot Zoto, et al.
Published: (2023-07-01)
by: Kastriot Zoto, et al.
Published: (2023-07-01)
Application of the Triple Sumudu Decomposition Method for Solving <inline-formula><math display="inline"><semantics><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></semantics></math></inline-formula>-Dimensional Boussinesq Equations
by: Huda Alsaud, et al.
Published: (2023-08-01)
by: Huda Alsaud, et al.
Published: (2023-08-01)
On Modified Interpolative Almost <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">E</mi><mo>−</mo></mrow></semantics></math></inline-formula>Type Contraction in Partial Modular <inline-formula><math display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>Metric Spaces
by: Dilek Kesik, et al.
Published: (2023-07-01)
by: Dilek Kesik, et al.
Published: (2023-07-01)
On the Vacuum Structure of the <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></mrow></semantics></math></inline-formula> Conformal Supergravity
by: Ioannis Dalianis, et al.
Published: (2021-10-01)
by: Ioannis Dalianis, et al.
Published: (2021-10-01)
Approximate Controllability of Non-Instantaneous Impulsive Stochastic Evolution Systems Driven by Fractional Brownian Motion with Hurst Parameter <inline-formula><math display="inline"><semantics><mrow><mi>H</mi><mo>∈</mo><mo>(</mo><mn>0</mn><mo>,</mo><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>)</mo></mrow></mrow></semantics></math></inline-formula>
by: Jiankang Liu, et al.
Published: (2022-08-01)
by: Jiankang Liu, et al.
Published: (2022-08-01)
On Several Parameters of Super Line Graph <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="script">L</mi><mn>2</mn></msub><mrow><mo>(</mo><mi>G</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>
by: Jiawei Meng, et al.
Published: (2023-03-01)
by: Jiawei Meng, et al.
Published: (2023-03-01)
Fractional Operators and Fractionally Integrated Random Fields on <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">Z</mi></mrow></semantics></math></inline-formula><i><sup>ν</sup></i>
by: Vytautė Pilipauskaitė, et al.
Published: (2024-06-01)
by: Vytautė Pilipauskaitė, et al.
Published: (2024-06-01)
Faithful Tropicalization and Skeleton of <inline-formula><math display="inline"><semantics><msub><mrow><mover><mi mathvariant="sans-serif">M</mi><mo>¯</mo></mover></mrow><mrow><mn>0</mn><mo>,</mo><mi>n</mi></mrow></msub></semantics></math></inline-formula>
by: Jiachang Xu, et al.
Published: (2025-06-01)
by: Jiachang Xu, et al.
Published: (2025-06-01)
Five Bonds to Carbon through Tri-Coordination in
<inline-formula><math display="inline"><semantics><mrow><msub><mrow><mi>Al</mi></mrow><mn>3</mn></msub><msubsup><mi mathvariant="normal">C</mi><mn>3</mn><mrow><mo>−</mo><mo>/</mo><mn>0</mn></mrow></msubsup></mrow></semantics></math></inline-formula>
by: Abdul Hamid Malhan, et al.
Published: (2023-05-01)
by: Abdul Hamid Malhan, et al.
Published: (2023-05-01)
Riemann–Hilbert Problems and Soliton Solutions of Type (<inline-formula><math display="inline"><semantics><mrow><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mo>−</mo><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>) Reduced Nonlocal Integrable mKdV Hierarchies
by: Wen-Xiu Ma
Published: (2022-03-01)
by: Wen-Xiu Ma
Published: (2022-03-01)
<inline-formula><math display="inline"><semantics><mi mathvariant="script">O</mi></semantics></math></inline-formula>-Regular Mappings on <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">C</mi><mrow><mo>(</mo><mi mathvariant="double-struck">C</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>: A Structured Operator–Theoretic Framework
by: Ji Eun Kim
Published: (2025-10-01)
by: Ji Eun Kim
Published: (2025-10-01)
Adaptive Neuro-Fuzzy Control of Active Vehicle Suspension Based on <inline-formula><math display="inline"><semantics><mrow><msub><mrow><mi mathvariant="bold-italic">H</mi></mrow><mrow><mn mathvariant="bold">2</mn></mrow></msub></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><msub><mrow><mi mathvariant="bold-italic">H</mi></mrow><mrow><mstyle mathvariant="bold"><mo>∞</mo></mstyle></mrow></msub></mrow></semantics></math></inline-formula> Synthesis
by: Jaffar Seyyed Esmaeili, et al.
Published: (2023-11-01)
by: Jaffar Seyyed Esmaeili, et al.
Published: (2023-11-01)
Conversion of Unweighted Graphs to Weighted Graphs Satisfying Properties <inline-formula><math display="inline"><semantics><mi mathvariant="monospace">R</mi></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><mo>−</mo><mi mathvariant="monospace">SR</mi></mrow></semantics></math></inline-formula>
by: Xiaolong Shi, et al.
Published: (2023-11-01)
by: Xiaolong Shi, et al.
Published: (2023-11-01)
<inline-formula><math display="inline"><semantics><mrow><mi>S</mi><mi>L</mi><mo>(</mo><mn>2</mn><mo>,</mo><mi mathvariant="double-struck">C</mi><mo>)</mo></mrow></semantics></math></inline-formula> Scheme Processing of Singularities in Quantum Computing and Genetics
by: Michel Planat, et al.
Published: (2023-02-01)
by: Michel Planat, et al.
Published: (2023-02-01)
On Translation Curves and Geodesics in <inline-formula><math display="inline"><semantics><msubsup><mrow><mi>Sol</mi></mrow><mn>1</mn><mn>4</mn></msubsup></semantics></math></inline-formula>
by: Zlatko Erjavec, et al.
Published: (2023-04-01)
by: Zlatko Erjavec, et al.
Published: (2023-04-01)
Inextensible Flows of Null Cartan Curves in Minkowski Space <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn></mrow></msup></mrow></semantics></math></inline-formula>
by: Samah Gaber, et al.
Published: (2023-02-01)
by: Samah Gaber, et al.
Published: (2023-02-01)
On (<inline-formula><math display="inline"><semantics><mrow><mover><mi>m</mi><mo>¯</mo></mover></mrow></semantics></math></inline-formula>, <i>m</i>)-Conformal Mappings
by: Branislav M. Randjelović, et al.
Published: (2025-08-01)
by: Branislav M. Randjelović, et al.
Published: (2025-08-01)
Conceptual Neighborhood Graphs of Topological Relations in <inline-formula><math display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">Z</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula>
by: Brendan Patrick Hall, et al.
Published: (2025-03-01)
by: Brendan Patrick Hall, et al.
Published: (2025-03-01)
An Extended Reweighted <inline-formula><math display="inline"><semantics><mrow><msub><mo>ℓ</mo><mn>1</mn></msub></mrow></semantics></math></inline-formula> Minimization Algorithm for Image Restoration
by: Sining Huang, et al.
Published: (2021-12-01)
by: Sining Huang, et al.
Published: (2021-12-01)
New Black Hole Solutions in <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">N</mi></mrow></semantics></math></inline-formula> = 2 and <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">N</mi></mrow></semantics></math></inline-formula> = 8 Gauged Supergravity
by: Antonio Gallerati
Published: (2021-06-01)
by: Antonio Gallerati
Published: (2021-06-01)
Jensen <inline-formula><math display="inline"><semantics><mrow><msubsup><mo>Δ</mo><mi>n</mi><mn>1</mn></msubsup></mrow></semantics></math></inline-formula> Reals by Means of ZFC and Second-Order Peano Arithmetic
by: Vladimir Kanovei, et al.
Published: (2024-01-01)
by: Vladimir Kanovei, et al.
Published: (2024-01-01)
Digital Relations in <inline-formula><math display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">Z</mi></mrow><mrow><mn>1</mn></mrow></msup></mrow></semantics></math></inline-formula>: Discretized Time and Rasterized Lines
by: Matthew P. Dube
Published: (2025-08-01)
by: Matthew P. Dube
Published: (2025-08-01)
Structural Properties of The Clifford–Weyl Algebra <inline-formula><math display="inline"><semantics><msubsup><mi>𝒜</mi><mrow><mi>q</mi></mrow><mo>±</mo></msubsup></semantics></math></inline-formula>
by: Jia Zhang, et al.
Published: (2025-09-01)
by: Jia Zhang, et al.
Published: (2025-09-01)
On the Unique Solution of a Partial Integro-Differential Equation on <inline-formula><math display="inline"><semantics><msubsup><mi>C</mi><mrow><mi>z</mi><mi>w</mi><mi>u</mi></mrow><mo>∞</mo></msubsup></semantics></math></inline-formula> and Related Problems
by: Mubariz Garayev
Published: (2025-10-01)
by: Mubariz Garayev
Published: (2025-10-01)
<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">C</mi></mrow></semantics></math></inline-formula>-Semigroups and Their Induced Order
by: Daniel Marín-Aragón, et al.
Published: (2024-09-01)
by: Daniel Marín-Aragón, et al.
Published: (2024-09-01)
A Classification of Elements of Function Space <i>F</i>(<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>,<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>)
by: Mohsen Soltanifar
Published: (2023-08-01)
by: Mohsen Soltanifar
Published: (2023-08-01)
Fragmentation Dynamics of <inline-formula><math display="inline"><semantics><msubsup><mrow><mi>CO</mi></mrow><mn>2</mn><mrow><mi mathvariant="normal">q</mi><mo>+</mo></mrow></msubsup></semantics></math></inline-formula> (q = 2, 3) in Collisions with 1 MeV Proton
by: Avijit Duley, et al.
Published: (2023-04-01)
by: Avijit Duley, et al.
Published: (2023-04-01)
Supercyclic and Hypercyclic Generalized Weighted Backward Shifts over a Non-Archimedean <inline-formula><math display="inline"><semantics><mrow><msub><mi>c</mi><mn>0</mn></msub><mrow><mo>(</mo><mi mathvariant="double-struck">N</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> Space
by: Farrukh Mukhamedov, et al.
Published: (2021-11-01)
by: Farrukh Mukhamedov, et al.
Published: (2021-11-01)
Harmonic Series with Multinomial Coefficient <inline-formula><math display="inline"><semantics><mfenced separators="" open="(" close=")"><mfrac linethickness="0pt"><mrow><mn>4</mn><mi>n</mi></mrow><mrow><mi>n</mi><mo>,</mo><mi>n</mi><mo>,</mo><mi>n</mi><mo>,</mo><mi>n</mi></mrow></mfrac></mfenced></semantics></math></inline-formula> and Central Binomial Coefficient <inline-formula><math display="inline"><semantics><mfenced separators="" open="(" close=")"><mfrac linethickness="0pt"><mrow><mn>2</mn><mi>n</mi></mrow><mi>n</mi></mfrac></mfenced></semantics></math></inline-formula>
by: Chunli Li, et al.
Published: (2024-06-01)
by: Chunli Li, et al.
Published: (2024-06-01)
DNA Code from Cyclic and Skew Cyclic Codes over <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><mn>4</mn></msub><mrow><mo>[</mo><mi>v</mi><mo>]</mo></mrow><mo>/</mo><mrow><mo>〈</mo><msup><mi>v</mi><mn>3</mn></msup><mo>〉</mo></mrow></mrow></semantics></math></inline-formula>
by: Om Prakash, et al.
Published: (2023-01-01)
by: Om Prakash, et al.
Published: (2023-01-01)
Ar(c)tivism and Policing: Unveiling the Theatrics of Justice and Resistance in Nigeria’s S<inline-formula><math display="inline"><semantics><mrow><mover><mi mathvariant="bold">ọ</mi><mo mathvariant="bold">̀</mo></mover></mrow></semantics></math></inline-formula>r<inline-formula><math display="inline"><semantics><mrow><mover><mi mathvariant="bold">ọ</mi><mo mathvariant="bold">̀</mo></mover></mrow></semantics></math></inline-formula>-Sókè Movement
by: Friday Gabriel, et al.
Published: (2025-04-01)
by: Friday Gabriel, et al.
Published: (2025-04-01)
Gauss’ Second Theorem for <inline-formula><math display="inline"><semantics><mrow><mmultiscripts><mi>F</mi><mn>1</mn><none/><mprescripts/><mn>2</mn><none/></mmultiscripts><mrow><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>-Series and Novel Harmonic Series Identities
by: Chunli Li, et al.
Published: (2024-05-01)
by: Chunli Li, et al.
Published: (2024-05-01)
Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space <inline-formula><math display="inline"><semantics><mrow><msubsup><mo>𝔼</mo><mn>1</mn><mi>3</mi></msubsup></mrow></semantics></math></inline-formula>
by: Areej A. Almoneef, et al.
Published: (2023-06-01)
by: Areej A. Almoneef, et al.
Published: (2023-06-01)
Some New Fractional Estimates of Inequalities for LR-<inline-formula><math display="inline"><semantics><mrow><mi>p</mi></mrow></semantics></math></inline-formula>-Convex Interval-Valued Functions by Means of Pseudo Order Relation
by: Muhammad Bilal Khan, et al.
Published: (2021-07-01)
by: Muhammad Bilal Khan, et al.
Published: (2021-07-01)
The Application of <inline-formula><math display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="bold">S</mi></mrow><mrow><mi mathvariant="bold">n</mi></mrow><mrow><mn mathvariant="bold">2</mn><mo mathvariant="bold">−</mo></mrow></msubsup></mrow></semantics></math></inline-formula> in Autotrophic Denitrification Process for Advanced Nitrogen Removal in Wastewater Treatment
by: Yingxue Sun, et al.
Published: (2025-06-01)
by: Yingxue Sun, et al.
Published: (2025-06-01)
Hořava–Lifshitz <inline-formula><math display="inline"><semantics><mrow><mi>F</mi><mo>(</mo><mover accent="true"><mi>R</mi><mo>¯</mo></mover><mo>)</mo></mrow></semantics></math></inline-formula> Theories and the Swampland
by: Hugo García-Compeán, et al.
Published: (2023-10-01)
by: Hugo García-Compeán, et al.
Published: (2023-10-01)
Similar Items
-
Existence of Solutions to a System of Fractional <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="fraktur">q</mi></mrow></semantics></math></inline-formula>-Difference Boundary Value Problems
by: Alexandru Tudorache, et al.
Published: (2024-04-01) -
The Dynamics of <inline-formula><math display="inline"><semantics><mrow><msubsup><mrow><mi>NO</mi></mrow><mn>3</mn><mo>−</mo></msubsup></mrow></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mrow><msubsup><mrow><mi>NH</mi></mrow><mn>4</mn><mo>+</mo></msubsup></mrow></semantics></math></inline-formula> Uptake in Duckweed Are Coordinated with the Expression of Major Nitrogen Assimilation Genes
by: Yuzhen Zhou, et al.
Published: (2021-12-01) -
Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional <inline-formula><math display="inline"><semantics><mrow><mi>r</mi><mo>(</mo><mo>·</mo><mo>)</mo></mrow></semantics></math></inline-formula>-Laplacian in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>N</mi></msup></mrow></semantics></math></inline-formula>
by: Yun-Ho Kim
Published: (2023-02-01) -
Finiteness of <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></mrow></semantics></math></inline-formula> Super-Yang–Mills Effective Action in Terms of Dressed <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="script">N</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula> Superfields
by: Igor Kondrashuk, et al.
Published: (2023-11-01) -
General New Results on <inline-formula><math display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>ϕ</mi><mo>,</mo><mi mathvariant="script">F</mi></mrow><mo>)</mo></mrow><mo>−</mo></mrow></semantics></math></inline-formula>Contractions in <inline-formula><math display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>Metric-like-Spaces
by: Kastriot Zoto, et al.
Published: (2023-07-01)
