Existence and uniqueness results for fractional boundary value problems with multiple orders of fractional derivatives and integrals

Tahar Kherraz, Maamar Benbachir, Mustapha Lakrib, Mohammad Esmael Samei, Mohammed K.A. Kaabar and Shailesh A. Bhanotar

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

Abstract: In this article, we study boundary value problems for fractional differential equations with multiple orders of fractional derivatives and integrals, in both fractional differential equation and boundary conditions. Existence and uniqueness results are obtained using Sadovskii’s fixed point theorem. Finally, numerical examples are provided to confirm the applicability of obtained theoretical results.

Keywords: Sadovskii’s fixed point; Caputo fractional derivative; Boundary value problem; Numerical direction (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011869

DOI: 10.1016/j.chaos.2022.113007

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