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

E. Capelas de Oliveira; J. Vanterler da C. Sousa

arxiv: 1711.07339 · v1 · pith:ROIEBEBFnew · submitted 2017-11-20 · 🧮 math.CA

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

J. Vanterler da C. Sousa , E. Capelas de Oliveira This is my paper

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keywords fractionalhilfernonlinearulam-hyers-rassiasadditionapplicationscauchyderivative

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We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving the $\psi$-Hilfer fractional derivative. In addition, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. A few examples are presented in order to illustrate the possible applications of our main results.

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

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