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On Coupled System of Nonlinear -Hilfer Hybrid Fractional Differential Equations
Ashwini D. Mali, Kishor D. Kucche, J. Vanterler da C. Sousa
This paper is dedicated to investigating the existence of solutions to the initial value problem (IVP) for a coupled system of -Hilfer hybrid fractional differential equations (…
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…
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…
Nonlocal Boundary Value Problem for Generalized Hilfer Implicit Fractional Differential Equations
Ashwini D. Mali, Kishor D. Kucche
In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving -Hilfer fractional derivative subject…
On the Impulsive Implicit --Hilfer Fractional Differential Equations with Delay
Jyoti P. Kharade, Kishor D. Kucche
In this paper, we investigate the existence and uniqueness of solutions and derive the Ulam--Hyers--Mittag--Leffler stability results for impulsive implicit --Hilfer fractional…
Analysis of Impulsive --Hilfer Fractional Differential Equations
Kishor D. Kucche, Jyoti P. Kharade
This paper is concerned with the existence and uniqueness, and Ulam--Hyers stabilities of solutions of nonlinear impulsive --Hilfer fractional differential equations. Further, w…