Sign in
Back
Existence results for nonlinear fractional boundary value problem involving generalized proportional derivative
Journal article   Open access  Peer reviewed

Existence results for nonlinear fractional boundary value problem involving generalized proportional derivative

Wafa Shammakh and Hadeel Z. Alzumi
Advances in difference equations, Vol.2019(1), pp.1-19
06/03/2019
DOI: https://doi.org/10.1186/s13662-019-2038-z

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
We introduce nonlinear fractional BVPs including a generalized proportional derivatives with nonlocal multipoint and substrip boundary conditions. The nonlinearities are defined on the Orlicz space and depend on the unknown function and its generalized derivative. Existence results for a nonlinear boundary value problem involving a proportional fractional derivative by utilizing some fixed point theorems are presented. The obtained results are new and are well illustrated with an example.
url
https://doi.org/10.1186/s13662-019-2038-zView
Published (Version of record) Open

Metrics

1 Record Views

Details