E$_{alpha } $-Ulam-Hyers Stability Result for $psi $-Hilfer Nonlocal Fractional Differential Equation
DOI:
https://doi.org/10.5890/DNC.2021.06.008Abstract
In this paper we study the existence and uniqueness results of }$\psi ${ -Hilfer nonlocal fractional differential equation with constant coefficient by using some properties of Mittag-Leffler function and fixed point theorems such as Banach and Schaefer's fixed point theorems. The generalized Gronwall inequality lemma is used in analyze E}$_{\alpha }${ -Ulam-Hyers stability. Finally, an example is provided to illustrate the obtained results.References
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