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Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
Sagar T Sutar1, Kishor D Kucche2
1Department of Mathematics, Vivekanand College (Autonomous), Kolhapur, 416003 Maharashtra India.
Abstract:
In the current paper, we consider multi-derivative nonlinear fractional differential equations involving Atangana-Baleanu fractional derivative. We investigate the fundamental results about the existence, uniqueness, boundedness and dependence of the solution on various data. The analysis is based on a fractional integral operator due to T. R. Prabhakar involving generalized Mittag-Leffler function, the Krasnoselskii's fixed point theorem and Gronwall-Bellman inequality with continuous functions.
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