Exploring the solutions of Hilfer delayed Duffing problem on the positive real line

Abstract In this article, we focus on studying the Duffing problem with the time delay of pantograph type via the Hilfer fractional derivatives on the infinite interval ( 0 , ∞ ) $(0,\infty )$ . An appropriate Banach space supported with the Bielecki norm in the Mittag–Leffler function sense is intr...

Full description

Bibliographic Details
Published in:	Boundary Value Problems
Main Authors:	Sabri T. M. Thabet, Imed Kedim, Thabet Abdeljawad
Format:	Article
Language:	English
Published:	SpringerOpen 2024-07-01
Subjects:	Hilfer fractional derivatives Duffing equation Pantograph problem Unbounded solutions Fixed point theorems
Online Access:	https://doi.org/10.1186/s13661-024-01903-w

Similar Items

Efficient results on unbounded solutions of fractional Bagley-Torvik system on the half-line
by: Sabri T. M. Thabet, et al.
Published: (2024-01-01)

Analysis study on multi-order $ \varrho $-Hilfer fractional pantograph implicit differential equation on unbounded domains
by: Sabri T. M. Thabet, et al.
Published: (2023-05-01)

Solvability of a <i>ϱ</i>-Hilfer Fractional Snap Dynamic System on Unbounded Domains
by: Sabri T. M. Thabet, et al.
Published: (2023-08-01)

On a class of differential inclusions in the frame of generalized Hilfer fractional derivative
by: Adel Lachouri, et al.
Published: (2022-01-01)

An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions
by: Sabri T. M. Thabet, et al.
Published: (2023-12-01)

Existence of Mild Solution of the Hilfer Fractional Differential Equations with Infinite Delay on an Infinite Interval
by: Chandrabose Sindhu Varun Bose, et al.
Published: (2023-09-01)

Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay
by: Chandrabose Sindhu Varun Bose, et al.
Published: (2023-07-01)

Existence and uniqueness results for sequential ψ-Hilfer fractional pantograph differential equations with mixed nonlocal boundary conditions
by: Karim Guida, et al.
Published: (2021-05-01)

On a new structure of multi-term Hilfer fractional impulsive neutral Levin-Nohel integrodifferential system with variable time delay
by: Thabet Abdeljawad, et al.
Published: (2024-02-01)

Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation
by: D. Vivek, et al.
Published: (2019-12-01)

A novel approach on the sequential type ψ-Hilfer pantograph fractional differential equation with boundary conditions
by: Elkhateeb S. Aly, et al.
Published: (2024-05-01)

On Caputo-Hadamard fractional pantograph problem of two different orders with Dirichlet boundary conditions
by: Ava Sh. Rafeeq, et al.
Published: (2024-01-01)

Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay
by: Chandrabose Sindhu Varun Bose, et al.
Published: (2023-12-01)

Fractional Sequential Coupled Systems of Hilfer and Caputo Integro-Differential Equations with Non-Separated Boundary Conditions
by: Ayub Samadi, et al.
Published: (2024-07-01)

Investigating a generalized Hilfer-type fractional differential equation with two-point and integral boundary conditions
by: Saleh S. Redhwan, et al.
Published: (2022-01-01)

Nonlocal Boundary Value Problems for Hilfer Generalized Proportional Fractional Differential Equations
by: Jessada Tariboon, et al.
Published: (2022-03-01)

On the nonlocal hybrid (k,φ)-Hilfer inverse problem with delay and anticipation
by: Abdelkrim Salim, et al.
Published: (2024-07-01)

Mixed Hilfer and Caputo Fractional Riemann–Stieltjes Integro-Differential Equations with Non-Separated Boundary Conditions
by: Ayub Samadi, et al.
Published: (2024-04-01)

Efficient results on Hilfer pantograph model with nonlocal integral condition
by: Kottakkaran Sooppy Nisar
Published: (2023-10-01)

On abstract Hilfer fractional integrodifferential equations with boundary conditions
by: Sabri T.M. Thabet, et al.
Published: (2020-08-01)

Separated boundary value problems via quantum Hilfer and Caputo operators
by: Idris Ahmed, et al.
Published: (2024-06-01)

Some novel existence and uniqueness results for the Hilfer fractional integro-differential equations with non-instantaneous impulsive multi-point boundary conditions and their application
by: Thabet Abdeljawad, et al.
Published: (2023-01-01)

Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains
by: Abdelkader Moumen, et al.
Published: (2025-07-01)

On the constrained and unconstrained controllability of semilinear Hilfer fractional systems
by: Beata Sikora
Published: (2023-04-01)

Existence and Ulam–Hyers Stability of a Fractional-Order Coupled System in the Frame of Generalized Hilfer Derivatives
by: Abdulkafi M. Saeed, et al.
Published: (2021-10-01)

Existence of Hilfer fractional neutral stochastic differential systems with infinite delay
by: S. Sivasankar, et al.
Published: (2024-03-01)

Study on Controllability for Ψ-Hilfer Fractional Stochastic Differential Equations
by: Abdur Raheem, et al.
Published: (2024-12-01)

Hybrid System of Proportional Hilfer-Type Fractional Differential Equations and Nonlocal Conditions with Respect to Another Function
by: Sotiris K. Ntouyas, et al.
Published: (2024-04-01)

Nonlinear fractional differential equations and their existence via fixed point theory concerning to Hilfer generalized proportional fractional derivative
by: Saima Rashid, et al.
Published: (2023-01-01)

On Hilfer cotangent fractional derivative and a particular class of fractional problems
by: Lakhlifa Sadek, et al.
Published: (2023-10-01)

Controllability of psi-Hilfer fractional differential equations with infinite delay via measure of noncompactness
by: Inzamamul Haque, et al.
Published: (2024-02-01)

Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives
by: Sabri T.M. Thabet, et al.
Published: (2025-02-01)

Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions
by: Ayub Samadi, et al.
Published: (2024-04-01)

Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2
by: Anurag Shukla, et al.
Published: (2024-08-01)

New results on an impulsive differential equation involving a q-analogue of the ψ-Caputo fractional derivative
by: Meqdad A. A. Ali, et al.
Published: (2025-09-01)

Existence and analysis of Hilfer-Hadamard fractional differential equations in RLC circuit models
by: Murugesan Manigandan, et al.
Published: (2024-10-01)

An Existence Result for <i>ψ</i>-Hilfer Fractional Integro-Differential Hybrid Three-Point Boundary Value Problems
by: Chanakarn Kiataramkul, et al.
Published: (2021-09-01)

A Class of <i>ψ</i>-Hilfer Fractional Pantograph Equations with Functional Boundary Data at Resonance
by: Bingzhi Sun, et al.
Published: (2025-03-01)

On the (k,φ)-Hilfer Langevin fractional coupled system having multi point boundary conditions and fractional integrals
by: Nana Pan, et al.
Published: (2024-12-01)

Existence and Kummer Stability for a System of Nonlinear <i>ϕ</i>-Hilfer Fractional Differential Equations with Application
by: Fatemeh Mottaghi, et al.
Published: (2021-11-01)