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Open Access Research Article

Existence results and optimization of fractional boundary value problems

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pp. 1–15Online FirstJune 2026DOI: 10.47974/JIM-2483XML
Received:
01 Sep 2025
Published Online:
02 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2483
Pages:
1–15

Abstract

We examine the solution to problem fractional with respect derivatives of Caputo. Our approach is mainly based on fractional calculus, particularly fractional derivatives and integrals, together with fixed point theory. First, we apply the Banach fixed point theorem to establish the existence and uniqueness of the solution. Then, we use the Schauder fixed point theorem to prove the existence of at least one solution. We also provide examples with optimization graphs to further demonstrate the validity of our results.

Keywords

Subject Classifications

34A0826A1626A3334B10

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