12 citations · 23 across the 7 of their papers we have counts for
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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…
On the Nonlinear -Hilfer Fractional Differential Equations
Kishor D. Kucche, Ashwini D. Mali, J. Vanterler da C. Sousa
We consider the nonlinear Cauchy problem for - Hilfer fractional differential equations and investigate the existence, interval of existence and uniqueness of solution in the w…
Stability of fractional functional differential equations
J. Vanterler da C. Sousa, E. Capelas de Oliveira, F. G. Rodrigues
In this paper, we present a study on the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the solution of the fractional functional differential equation using the Banach fixed poi…
Stability of -Hilfer Impulsive Fractional Differential Equations
J. Vanterler da C. Sousa, Kishor D. Kucche, E. Capelas de Oliveira
In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and δ-Ulam-Hyers-Rassias stability of an impulsive fractional differential equatio…
Existence, uniqueness, estimation and continuous dependence of the solutions of a nonlinear integral and an integrodifferential equations of fractional order
J. Vanterler da C. Sousa, E. Capelas de Oliveira
By means of two fractional order integral inequalities we investigate the existence and uniqueness of the solutions of the fractional nonlinear Volterra integral equation and a fra…