Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations-Reference-Cited by-同舟云学术

Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations

Published:2022-04-27 Issue: Volume:2022 Page:1-9
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Ben Makhlouf Abdellatif¹^ORCID,Boucenna Djalal²^ORCID,Nagy A.M.³⁴^ORCID,Mchiri Lassaad⁵^ORCID

Affiliation:

1. Department of Mathematics, College of Science, Jouf University, P.O. Box: 2014, Sakaka, Saudi Arabia

2. High School of Technological Teaching, Enset, Skikda, Algeria

3. Faculty of Science, Department of Mathematics, Benha University, Benha, Egypt

4. Mathematics Department, Faculty of Science, Kuwait University, Safat 13060, Kuwait

5. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

Abstract

In this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional differential equations.

Funder

Deanship of Scientific Research at Jouf University

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/1682942.pdf

Reference18 articles.

1. Generalized weakly singular integral inequalities with applications to fractional differential equations with respect to another function

2. New Henry–Gronwall Integral Inequalities and Their Applications to Fractional Differential Equations

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