Boundary Value Problem for ψ -Caputo Fractional Differential Equations in Banach Spaces via Densifiability Techniques

Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra and Yong Zhou
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Choukri Derbazi: Laboratoire Equations Différentielles, Department of Mathematics, Faculty of Exact Sciences, Frères Mentouri University Constantine 1, P.O. Box 325, Ain El Bey Way, Constantine 25017, Algeria
Zidane Baitiche: Laboratoire Equations Différentielles, Department of Mathematics, Faculty of Exact Sciences, Frères Mentouri University Constantine 1, P.O. Box 325, Ain El Bey Way, Constantine 25017, Algeria
Mouffak Benchohra: Laboratory of Mathematics, Djillali Liabes University, Sidi-Bel-Abbes 22000, Algeria
Yong Zhou: Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Mathematics, 2022, vol. 10, issue 1, 1-9

Abstract: A novel fixed-point theorem based on the degree of nondensifiability (DND) is used in this article to examine the existence of solutions to a boundary value problem containing the ψ -Caputo fractional derivative in Banach spaces. Besides that, an example is included to verify our main results. Moreover, the outcomes obtained in this research paper ameliorate and expand some previous findings in this area.

Keywords: fractional differential equations; ?-Caputo fractional derivative; existence; fixed point; degree of nondensifiability; Banach spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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