Innovative approaches to initial and terminal value problems of fractional differential equations with two different derivative orders

This research investigates the properties of fractional differential equations characterized by variable orders, focusing on their existence, uniqueness, and Ulam-Hyers stability. By transforming the problem into an integral equation format, we established essential conditions and utilized well-know...

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Bibliographic Details
Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 32 - 22
Main Authors:	Refice, Ahmed, Bensaid, M’hamed, Souid, Mohammed Said, Boulaaras, Salah, Amara, Abdelkader, Radwan, Taha
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 06.11.2025 Springer Nature B.V SpringerOpen
Subjects:	Analysis Applications of Mathematics Banach spaces Boundary value problem Boundary value problems Calculus Derivatives and integrals of variable order Differential equations Differential Geometry Fixed point theorem Fixed points (mathematics) Fractional calculus Fractional derivatives Integral equations Mathematical and Computational Biology Mathematics Mathematics and Statistics Partial differential equations Piecewise function Stability Topology Ulam-Hyers stability Uniqueness Ulam-Hyers stability Fixed point theorem Boundary value problem Derivatives and integrals of variable order Piecewise function 26A33 34K37 Fractional derivatives 34A08
ISSN:	2730-5422, 2730-5422
Online Access:	Get full text
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