$Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense$

Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense

We investigate the criteria for both the existence and uniqueness of solutions within a nonlinear coupled system of Hilfer-Hadamard sequential fractional differential equations featuring varying orders. This system is complemented by nonlocal coupled Hadamard fractional integral boundary conditions....

Full description

Bibliographic Details
Main Authors:	Muath Awadalla, Manigandan Murugesan, Subramanian Muthaiah, Bundit Unyong, Ria H Egami
Format:	Article
Language:	English
Published:	AIMS Press 2024-03-01
Series:	AIMS Mathematics
Subjects:	hilfer-hadamard derivatives sequential derivatives hadamard integrals existence uniqueness fixed point
Online Access:	https://aimspress.com/article/doi/10.3934/math.2024486?viewType=HTML

Similar Items

Investigation of a Coupled System of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Hadamard Fractional Integral Boundary Conditions
by: Bashir Ahmad, et al.
Published: (2023-02-01)

A Novel Implementation of Mönch’s Fixed Point Theorem to a System of Nonlinear Hadamard Fractional Differential Equations
by: Abeer Al Elaiw, et al.
Published: (2022-10-01)

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

Existence of Solutions for Nonlocal Boundary Value Problem of Hadamard Fractional Differential Equations
by: Subramanian Muthaiah, et al.
Published: (2019-09-01)

Hilfer-Hadamard fractional differential equations; Existence and Attractivity
by: Fatima Sİ BACHİR, et al.
Published: (2021-01-01)

Existence of Solutions for Coupled System of Sequential Liouville–Caputo-Type Fractional Integrodifferential Equations
by: Manigandan Murugesan, et al.
Published: (2023-11-01)

Systems of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Boundary Conditions
by: Alexandru Tudorache, et al.
Published: (2023-11-01)

Existence and Uniqueness of Solutions for Fractional Integro-Differential Equations Involving the Hadamard Derivatives
by: Nemat Nyamoradi, et al.
Published: (2022-08-01)

Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
by: S Abbas, et al.
Published: (2017-06-01)

Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions
by: Warissara Saengthong, et al.
Published: (2019-12-01)

Random Coupled Hilfer and Hadamard Fractional Differential Systems in Generalized Banach Spaces
by: Saïd Abbas, et al.
Published: (2019-03-01)

Hilfer Fractional Quantum Derivative and Boundary Value Problems
by: Phollakrit Wongsantisuk, et al.
Published: (2022-03-01)

Implicit coupled Hilfer–Hadamard fractional differential systems under weak topologies
by: Saïd Abbas, et al.
Published: (2018-09-01)

Existence Results for Nonlinear Coupled Hilfer Fractional Differential Equations with Nonlocal Riemann–Liouville and Hadamard-Type Iterated Integral Boundary Conditions
by: Sunisa Theswan, et al.
Published: (2022-09-01)

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)

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
by: Ahmad Y. A. Salamoonı, et al.
Published: (2020-09-01)

Mönch's fixed point theorem in investigating the existence of a solution to a system of sequential fractional differential equations
by: Abeer Al Elaiw, et al.
Published: (2023-01-01)

Sequential Caputo–Hadamard Fractional Differential Equations with Boundary Conditions in Banach Spaces
by: Ramasamy Arul, et al.
Published: (2022-12-01)

Applicability of Mönch’s Fixed Point Theorem on a System of (<i>k</i>, <i>ψ</i>)-Hilfer Type Fractional Differential Equations
by: Emad Fadhal, et al.
Published: (2022-12-01)

Hilfer–Hadamard Fractional Boundary Value Problems with Nonlocal Mixed Boundary Conditions
by: Bashir Ahmad, et al.
Published: (2021-11-01)

Hilfer fractional quantum system with Riemann-Liouville fractional derivatives and integrals in boundary conditions
by: Donny Passary, et al.
Published: (2024-01-01)

Hermite-Hadamard Fractional Inequalities for Differentiable Functions
by: Muhammad Samraiz, et al.
Published: (2022-01-01)

Generalizations of Hermite–Hadamard like inequalities involving χ κ $\chi _{{\kappa }}$ -Hilfer fractional integrals
by: Yu-Ming Chu, et al.
Published: (2020-10-01)

Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order
by: Amar Benkerrouche, et al.
Published: (2022-11-01)

Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations
by: Abdelouaheb Ardjouni, Ahcene Djoudi
Published: (2019-11-01)

On ψ-Hilfer generalized proportional fractional operators
by: Ishfaq Mallah, et al.
Published: (2022-01-01)

Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations
by: Subramanian Muthaiah, et al.
Published: (2021-10-01)

Terminal Value Problem for Differential Equations with Hilfer–Katugampola Fractional Derivative
by: Mouffak Benchohra, et al.
Published: (2019-05-01)

On a system of fractional coupled hybrid Hadamard differential equations with terminal conditions
by: Karthikeyan Buvaneswari, et al.
Published: (2020-08-01)

On a class of Lyapunov's inequality involving $ \lambda $-Hilfer Hadamard fractional derivative
by: Lakhdar Ragoub, et al.
Published: (2024-01-01)

Existence and uniqueness for fuzzy differential equation with Hilfer–Katugampola fractional derivative
by: Xingru Chen, et al.
Published: (2020-05-01)

Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions
by: Shorog Aljoudi, et al.
Published: (2020-04-01)

Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions
by: Manigandan Murugesan, et al.
Published: (2023-05-01)

Nonlinear sequential fractional differential equations with nonlocal boundary conditions
by: Nazim I Mahmudov, et al.
Published: (2017-10-01)

Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions
by: Abdelouaheb Ardjouni, et al.
Published: (2019-03-01)

Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions
by: Weerawat Sudsutad, et al.
Published: (2021-02-01)

Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions
by: Suphawat Asawasamrit, et al.
Published: (2018-12-01)

On the nonlinear impulsive Ψ–Hilfer fractional differential equations
by: Kishor D. Kucche, et al.
Published: (2020-10-01)

Ulam stability for nonlinear implicit differential equations with Hilfer-Katugampola fractional derivative and impulses
by: Soufyane Bouriah, et al.
Published: (2022-05-01)

A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
by: Chengbo Zhai, et al.
Published: (2018-08-01)