A study on k$$ k $$‐generalized ψ$$ \psi $$‐Hilfer fractional differential equations with periodic integral conditions-Reference-Cited by-同舟云学术

A study on k$$ k $$‐generalized ψ$$ \psi $$‐Hilfer fractional differential equations with periodic integral conditions

Published:2023-01-20 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Salim Abdelkrim¹²^ORCID,Bouriah Soufyane³,Benchohra Mouffak¹^ORCID,Lazreg Jamal Eddine¹,Karapinar Erdal⁴⁵⁶^ORCID

Affiliation:

1. Laboratory of Mathematics Djillali Liabes University of Sidi Bel‐Abbes Sidi Bel‐Abbes Algeria

2. Faculty of Technology Hassiba Benbouali University of Chlef Chlef Algeria

3. Department of Mathematics, Faculty of Exact Sciences and Informatics University Hassiba Benbouali of Chlef Chlef Algeria

4. Division of Applied Mathematics Thu Dau Mot University Thu Dau Mot City Vietnam

5. Department of Mathematics Çankaya University Ankara Turkey

6. Department of Medical Research China Medical University Taichung Taiwan

Abstract

This paper deals with some existence and uniqueness results for a class of problems systems for nonlinear ‐generalized ‐Hilfer fractional differential equations with periodic conditions. The arguments are based on Mawhin's coincidence degree theory. Furthermore, an illustration is presented to demonstrate the plausibility of our results.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9056

Reference30 articles.

1. Implicit Fractional Differential and Integral Equations

2. Topics in Fractional Differential Equations

3. Impulsive Differential Equations and Inclusions

4. Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses

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