@Article{AAMM-11-338, author = {Abdo , Mohammed S. and Panchal , Satish K.}, title = {Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {2}, pages = {338--359}, abstract = {

Considering a fractional integro-differential equation involving a general form of Hilfer fractional derivative with respect to another function. We show that weighted Cauchy-type problem is equivalent to a Volterra integral equation, we also prove the existence, uniqueness of solutions and Ulam-Hyers stability of this problem by employing a variety of tools of fractional calculus including Banach fixed point theorem. An example is provided to illustrate our main results.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0143}, url = {http://global-sci.org/intro/article_detail/aamm/12966.html} }