135 citations · 343 across the 19 of their papers we have counts for
19 papers
On the -regular mild solution for fractional abstract integro-differential equations
J. Vanterler C. Sousa, M. Aurora P. Pulido, V. Govindaraj +1
In this present paper, we first obtained some estimates involving parts of -regular mild solutions of the fractional integro-differential equation. In this sense, thro…
Existence, uniqueness and controllability for Hilfer differential equations on times scales
J. Vanterler da C. Sousa, D. S. Oliveira, Gastao S. F. Frederico +1
We introduce a new version of -Hilfer fractional derivative, on an arbitrary time scale. The fundamental properties of the new operator are investigated and, in particular, we p…
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…
On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in
J. Vanterler da C. Sousa, E. Capelas de Oliveira
In this paper, we present the result of maximum regularity of the mild solution of the fractional Cauchy problem. As our main result, we investigate the uniqueness of mild solution…