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math.DS2020
On Nonlinear Hybrid Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative
Sagar T. Sutar, Kishor D. Kucche
In this paper, we develop the theory of nonlinear hybrid fractional differential equations involving Atangana--Baleanu--Caputo (ABC) fractional derivative. We construct the equival…
math.DS2020★ 1 cited
Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory
Sagar T. Sutar, Kishor D. Kucche
In this paper, by employing fixed-point methods, we obtain the existence and uniqueness results for the nonlinear implicit fractional differential equations in Banach spaces. Furth…
math.DS2018
On Fractional Volterra integrodifferential equations with fractional integrable impulses
Sagar T. Sutar, Kishor D. Kucche
We consider a class of nonlinear fractional Volterra integrodifferential equation with fractional integrable impulses and investigate the existence and uniqueness results in the Bi…