J. Vanterler da C. Sousa

A New Truncated M-Fractional Derivative Type Unifying Some Fractional Derivative Types with Classical Properties

J. Vanterler da C. Sousa, E. Capelas de Oliveira · International Journal of Analysis and Applications · 2018 · 195 citations · Full text

Natural Sciences, Mathematics, Derivatives +5

Leibniz type rule: ψ-Hilfer fractional operator

J. Vanterler da C. Sousa, E. Capelas de Oliveira · Communications in Nonlinear Science and Numerical Simulation · 2019 · 153 citations

Natural Sciences, Mathematics, Physics +5

On the Ulam–Hyers–Rassias stability for nonlinear fractional differential equations using the $$\psi $$ ψ -Hilfer operator

J. Vanterler da C. Sousa, E. Capelas de Oliveira · Journal of Fixed Point Theory and Applications · 2018 · 131 citations

Natural Sciences, Mathematics, Physics +8

Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations

E. Capelas de Oliveira, J. Vanterler da C. Sousa · Results in Mathematics · 2018 · 122 citations

Natural Sciences, Mathematics, Differential Equations +6

A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator

J. Vanterler da C. Sousa, E. Capelas de Oliveira · Differential Equations & Applications · 2019 · 117 citations · Full text

Natural Sciences, Mathematics, Derivatives +13