Open AccessImplicit fractional differential equation with nonlocal integral-multipoint boundary conditions in the frame of Hilfer fractional derivative
Author(s) -
Saleh S. Redhwan,
Sadikali L. Shaikh
Publication year - 2021
Publication title -
journal of mathematical analysis and modeling
Language(s) - English
Resource type - Journals
ISSN - 2709-5924
DOI - 10.48185/jmam.v2i1.176
Subject(s) - mathematics , uniqueness , fractional calculus , mathematical analysis , fixed point theorem , nonlinear system , boundary value problem , frame (networking) , derivative (finance) , physics , computer science , telecommunications , quantum mechanics , financial economics , economics
This article deals with a nonlinear implicit fractional differential equation with nonlocal integral-multipoint boundary conditions in the frame of Hilfer fractional derivative. The existence and uniqueness results are obtained by using the fixed point theorems of Krasnoselskii and Banach. Further, to demonstrate the effectiveness of the main results, suitable examples are granted.