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12 papers · 1 filter
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…
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…
Nonexistence of invariant manifolds in fractional order dynamical systems
Sachin Bhalekar, Madhuri Patil
Invariant manifolds are important sets arising in the stability theory of dynamical systems. In this article, we take a brief review of invariant sets. We provide some results rega…
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…