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http://dx.doi.org/10.22771/nfaa.2021.26.04.09

EXISTENCE AND STABILITY RESULTS OF GENERALIZED FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS  

Kausika, C. (Department of Mathematics Bharathiar Univerity)
Balachandran, K. (Department of Mathematics Bharathiar Univerity)
Annapoorani, N. (Department of Mathematics Bharathiar Univerity)
Kim, J.K. (Department of Mathematics Education Kyungnam University)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.4, 2021 , pp. 793-809 More about this Journal
Abstract
This paper gives sufficient conditions to ensure the existence and stability of solutions for generalized nonlinear fractional integrodifferential equations of order α (1 < α < 2). The main theorem asserts the stability results in a weighted Banach space, employing the Krasnoselskii's fixed point technique and the existence of at least one mild solution satisfying the asymptotic stability condition. Two examples are provided to illustrate the theory.
Keywords
Caputo generalized fractional derivative; fractional integrodifferential equation; stability theory; Krasnoselskii's fixed point theorem;
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