12 citations · 18 across the 5 of their papers we have counts for
14 papers · 1 filter
Mild and classical solutions for fractional evolution differential equation
J. Vanterler da C. Sousa, Thabet Abdeljawad, D. S. Oliveira
Investigating the existence, uniqueness, stability, continuous dependence of data among other properties of solutions of fractional differential equations, has been the object of s…
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…
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…
Mild and strong solutions for Hilfer evolution equation
J. Vanterler da C. Sousa, Leandro S. Tavares, E. Capelas de Oliveira
In this paper, we investigate the existence and uniqueness of mild and strong solutions of fractional semilinear evolution equations in the Hilfer sense, by means of Banach fixed p…
A note on the mild solutions of Hilfer impulsive fractional differential equations
J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira
In this paper, we present a new class of inequality of the Gronwall type and discuss some particular cases. In this sense, we investigate the uniqueness and -Ulam-Hyers-Rassias…
On the Ulam-Hyers stabilities of Ψ-Hilfer fractional differential equation by means of abstract Volterra operator
J. Vanterler da C. Sousa, Kishor D. Kucche, E. Capelas de Oliveira
In this paper, we consider the new class of the fractional differential equation involving the abstract Volterra operator in the Banach space and investigate existence, uniqueness…