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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 the Boundary Value Problems of Ψ -Hilfer Fractional Differential Equations
Ashwini D. Mali, Kishor D. Kucche
In the current paper, we derive the comparison results for the homogeneous and non-homogeneous linear initial value problem (IVP) for -Hilfer fractional differential equations.…
On the Nonlinear -Hilfer Hybrid Fractional Differential Equations
Kishor D. Kucche, Ashwini D. Mali
In this paper, we initially derive the equivalent fractional integral equation to -Hilfer hybrid fractional differential equations and through it, we prove the existence of a so…
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…
Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative
Kishor D. Kucche, Sagar T. Sutar
In the present paper, we determine the estimations on Atangana-Baleanu-Caputo fractional derivative at extreme points. With the assistance of the estimations obtained, we derive th…