Solving Caputo fractional order differential equations via fixed point results of α-Geraghty contraction type mappings

Taqbibt, Abdellah and Omari, M'Hamed El and Melliani, Said (2024) Solving Caputo fractional order differential equations via fixed point results of α-Geraghty contraction type mappings. Miskolc Mathematical Notes, 25 (2). pp. 993-1008. ISSN 1787-2413

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Abstract

In this paper, by the fixed point results of α–Geraghty contraction type mappings, we prove the existence and uniqueness results of solutions for some Caputo fractional order differential equations in metric spaces. In addition, we conclude the applicability of these results with an illustrative example.

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