Existence and Hyers–Ulam Stability for a Multi-Term Fractional Differential Equation with Infinite Delay

Chen Chen and Qixiang Dong
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Chen Chen: School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China
Qixiang Dong: School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China

Mathematics, 2022, vol. 10, issue 7, 1-15

Abstract: This paper is devoted to investigating one type of nonlinear two-term fractional order delayed differential equations involving Caputo fractional derivatives. The Leray–Schauder alternative fixed-point theorem and Banach contraction principle are applied to analyze the existence and uniqueness of solutions to the problem with infinite delay. Additionally, the Hyers–Ulam stability of fractional differential equations is considered for the delay conditions.

Keywords: fixed-point theorem; infinite delay; fractional differential equation; stability; existence and uniqueness; Caputo fractional derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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