Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions-Reference-Cited by-同舟云学术

Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

Published:2012-05-31 Issue:1 Volume:2012 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Agarwal Ravi P,Ahmad Bashir,Alsaedi Ahmad,Shahzad Naseer

Abstract

Abstract This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results. MSC 2010: 34A12; 34A40.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-1847-2012-74.pdf

Reference41 articles.

1. Podlubny I: Fractional Differential Equations. Academic Press, San Diego; 1999.

2. Zaslavsky GM: Hamiltonian Chaos and Fractional Dynamics. Oxford University Press, Oxford; 2005.

3. Magin RL: Fractional Calculus in Bioengineering. Begell House Publisher, Inc., Connecticut; 2006.

4. Kilbas AA, Srivastava HM, Trujillo JJ: Theory and Applications of Fractional Differential Equations, North-Holland Mathematics Studies, 204. Elsevier Science B.V., Amsterdam; 2006.

5. Sabatier J, Agrawal OP, Machado JAT (Eds): Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering Springer, Dordrecht; 2007.

Cited by 19 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. On an m-dimensional system of quantum inclusions by a new computational approach and heatmap;Journal of Inequalities and Applications;2024-03-26

2. A Study on a Fractional q-Integro-Differential Inclusion by Quantum Calculus with Numerical and Graphical Simulations;SAHAND COMMUN MATH A;2024

3. Analysis of fractional stochastic evolution equations by using Hilfer derivative of finite approximate controllability;AIMS Mathematics;2023

4. A computational method for investigating a quantum integrodifferential inclusion with simulations and heatmaps;AIMS Mathematics;2023

5. System of fractional boundary value problem with p-Laplacian and advanced arguments;Advances in Difference Equations;2021-07-29