Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations

نویسندگان

چکیده

In this paper, we study the existence of solutions for fractional differential equations with Caputo-Hadamard derivative order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and results are established by using Schauder’s fixed point theorem. Furthermore, Ulam-Hyers Ulam-Hyers-Rassias stability proposed equation employed. Some examples given to illustrate results.

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ژورنال

عنوان ژورنال: General letters in mathematics

سال: 2022

ISSN: ['2519-9269', '2519-9277']

DOI: https://doi.org/10.31559/glm2022.12.2.5