Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition

Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition

The Sturm–Liouville differential equation is an important tool for physics, applied mathematics, and other fields of engineering and science and has wide applications in quantum mechanics, classical mechanics, and wave phenomena. In this paper, we investigate the coupled hybrid version of the Sturm–...

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Bibliographic Details
Main Authors: Mohadeseh Paknazar, Manuel De La Sen
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Axioms
Subjects:
Caputo fractional derivative
fractional differential equations
hybrid differential equations
coupled hybrid Sturm–Liouville differential equation
multi-point boundary coupled hybrid condition
integral boundary coupled hybrid condition
Online Access:https://www.mdpi.com/2075-1680/10/2/65
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spelling doaj-e04643c3ec4043b9a01feb3277bd03a22021-04-16T23:05:13ZengMDPI AGAxioms2075-16802021-04-0110656510.3390/axioms10020065Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid ConditionMohadeseh Paknazar0Manuel De La Sen1Department of Mathemathics Educations, Farhangian University, 1417466191 Tehran, IranInstitute of Reasearch and Development of Processes, University of Basque Country, 48940 Leioa, SpainThe Sturm–Liouville differential equation is an important tool for physics, applied mathematics, and other fields of engineering and science and has wide applications in quantum mechanics, classical mechanics, and wave phenomena. In this paper, we investigate the coupled hybrid version of the Sturm–Liouville differential equation. Indeed, we study the existence of solutions for the coupled hybrid Sturm–Liouville differential equation with multi-point boundary coupled hybrid condition. Furthermore, we study the existence of solutions for the coupled hybrid Sturm–Liouville differential equation with an integral boundary coupled hybrid condition. We give an application and some examples to illustrate our results.https://www.mdpi.com/2075-1680/10/2/65Caputo fractional derivativefractional differential equationshybrid differential equationscoupled hybrid Sturm–Liouville differential equationmulti-point boundary coupled hybrid conditionintegral boundary coupled hybrid condition
collection DOAJ
language English
format Article
sources DOAJ
author Mohadeseh Paknazar
Manuel De La Sen
spellingShingle Mohadeseh Paknazar
Manuel De La Sen
Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition
Axioms
Caputo fractional derivative
fractional differential equations
hybrid differential equations
coupled hybrid Sturm–Liouville differential equation
multi-point boundary coupled hybrid condition
integral boundary coupled hybrid condition
author_facet Mohadeseh Paknazar
Manuel De La Sen
author_sort Mohadeseh Paknazar
title Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition
title_short Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition
title_full Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition
title_fullStr Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition
title_full_unstemmed Fractional Coupled Hybrid Sturm–Liouville Differential Equation with Multi-Point Boundary Coupled Hybrid Condition
title_sort fractional coupled hybrid sturm–liouville differential equation with multi-point boundary coupled hybrid condition
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2021-04-01
description The Sturm–Liouville differential equation is an important tool for physics, applied mathematics, and other fields of engineering and science and has wide applications in quantum mechanics, classical mechanics, and wave phenomena. In this paper, we investigate the coupled hybrid version of the Sturm–Liouville differential equation. Indeed, we study the existence of solutions for the coupled hybrid Sturm–Liouville differential equation with multi-point boundary coupled hybrid condition. Furthermore, we study the existence of solutions for the coupled hybrid Sturm–Liouville differential equation with an integral boundary coupled hybrid condition. We give an application and some examples to illustrate our results.
topic Caputo fractional derivative
fractional differential equations
hybrid differential equations
coupled hybrid Sturm–Liouville differential equation
multi-point boundary coupled hybrid condition
integral boundary coupled hybrid condition
url https://www.mdpi.com/2075-1680/10/2/65
work_keys_str_mv AT mohadesehpaknazar fractionalcoupledhybridsturmliouvilledifferentialequationwithmultipointboundarycoupledhybridcondition
AT manueldelasen fractionalcoupledhybridsturmliouvilledifferentialequationwithmultipointboundarycoupledhybridcondition
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