Some New Weakly Singular Integral Inequalities with Applications to Differential Equations in Frame of Tempered χ -Fractional Derivatives

Omar Kahouli (), Djalal Boucenna, Abdellatif Ben Makhlouf and Ymnah Alruwaily
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Omar Kahouli: Department of Electronics Engineering, Applied College, University of Ha’il, Ha’il P.O. Box 2440, Saudi Arabia
Djalal Boucenna: Laboratory of Physical Chemistry and Biology of Materials, Higher Normal School of Technological Education (ENSET), Skikda 21000, Algeria
Abdellatif Ben Makhlouf: Department of Mathematics, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia
Ymnah Alruwaily: Department of Mathematics, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi Arabia

Mathematics, 2022, vol. 10, issue 20, 1-12

Abstract: In this study, we develop some novel Integral Inequalities (InIs) with weakly singular singularities that expand some commonly known ones. Utilizing tempered χ -Fractional Differential Equations (FDEs), many applications for FDEs in the context of Caputo have been developed.

Keywords: tempered χ-fractional integral; tempered χ-Caputo fractional derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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