Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions-Reference-Cited by-同舟云学术

Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

Published:2016-01-01 Issue:1 Volume:14 Page:723-735
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Aqlan Mohammed H.¹,Alsaedi Ahmed¹,Ahmad Bashir¹,Nieto Juan J.²

Affiliation:

1. 1Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Arabia

2. 2Analisis Matematico, Facultad de Matematicas, University of Santiago de Compostela, Santiago de Compostela, 15782, Spain

Abstract

AbstractWe develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration but also yield some new special cases for specific choices of parameters involved in the problems.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0064/pdf

Reference15 articles.

1. A note on the fractional logistic equation A note on the fractional logistic equationPhys A;Area;Phys,2016

2. Relaxation in nonconvex optimal control problems described by fractional differential equations Relaxation in nonconvex optimal control problems described by fractional differential equationsJ;Liu;Math Anal Appl Math Anal Appl,2014

3. Sequential fractional differential equations with Hadamard derivative Sequential fractional differential equations with Hadamard derivative;Klimek;Commun Nonlinear Sci Numer Simul Numer Simul,2011

4. Anti - periodic fractional boundary value problems Anti - periodic fractional boundary value problemsComput;Ahmad;Comput Math Appl Math Appl,2011

5. Nonlocal Cauchy problems for fractional evolution equations involving Volterra - Fredholm type integral operators Miskolc Math Nonlocal Cauchy problems for fractional evolution equations involving Volterra - Fredholm type integral operatorsMiskolc Math;Wang;Notes Notes,2012

Cited by 24 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations;Fractal and Fractional;2024-05-29

2. New Results on the Solvability of Abstract Sequential Caputo Fractional Differential Equations with a Resolvent-Operator Approach and Applications;Mathematics;2024-04-22

3. Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions;AIMS Mathematics;2024

4. Existence of Solutions for Coupled System of Sequential Liouville–Caputo-Type Fractional Integrodifferential Equations;Fractal and Fractional;2023-11-02

5. On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions;Fractal and Fractional;2023-02-12