On a Riemann-Liouville fractional anti-periodic boundary value problem in a weighted space
DOI:
https://doi.org/10.24193/subbmath.2025.4.06Keywords:
Riemann–Liouville fractional derivative and integral operators, anti-periodic boundary conditions, existence, fixed point, Ulam–Hyers stabilityAbstract
This paper is concerned with the existence of solutions for a fractional anti-periodic boundary value problem of order α ∈ (2, 3] involving Riemann–Liouville fractional derivative and integral operators in a weighted space. The existence of solutions for the given problem is shown by means of the Leray- Schauder’s alternative, while the uniqueness of its solutions is established with the aid of the Banach’s fixed point theorem. We also discuss the Ulam–Hyers stability for the problem at hand. Examples are presented for illustration of the main results.
Mathematics Subject Classification (2010): 34A08; 34B15.
Received 2 March 2025; Accepted 25 July 2025.
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