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20182021
most citedStability of -Hilfer Impulsive Fractional Differential Equations

135 citations · 640 across the 20 of their papers we have counts for

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math.CA2019

On the Nonlinear Impulsive Volterra-Fredholm Integrodifferential Equations

Pallavi U. Shikhare, Kishor D. Kucche, J. Vanterler da C. Sousa

In this paper, we investigate existence and uniqueness of solutions of nonlinear Volterra-Fredholm impulsive integrodifferential equations. Utilizing theory of Picard operators we…

math.CA2019

Analysis of Volterra Integrodifferential Equations with Nonlocal and Boundary Conditions via Picard Operator

Pallavi U. Shikhare, Kishor D. Kucche, J. Vanterler da C. Sousa

This article investigates the existence and uniqueness of solutions to the second order Volterra integrodifferential equations with nonlocal and boundary conditions through its int…

math.DS2019★ 36 cited

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…

math.DS2019★ 20 cited

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…

math.CA2019★ 1 cited

Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem

J. Vanterler da C. Sousa, K. D. Kucche, E. Capelas de Oliveira

Since the main work on Ulam-Hyers dependable stabilities of differential equations to date, numerous significant and applicable papers have been published, both in the sense of int…

math.DS2019★ 24 cited

On the Nonlinear Impulsive --Hilfer Fractional Differential Equations

Kishor D. Kucche, Jyoti P. Kharade, J. Vanterler da C. Sousa

In this paper, we consider the nonlinear -Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existen…