On a coupled Caputo conformable system of pantograph problems

Authors

SABRI T. M. THABET
SINA ETEMAD
SHAHRAM REZAPOUR

Abstract

Our fundamental purpose in the present manuscript is to explore existence and uniqueness criteria for a new coupled Caputo conformable system of pantograph problems in which for the first time, the given boundary conditions are formulated in the Riemann-Liouville conformable framework. To reach the mentioned aims, we utilize different analytical techniques in which some fixed point results play a vital role. In the final part, a simulative example is designed to cover the applicability aspects of theoretical findings available in this research manuscript from a numerical point of view.

DOI

10.3906/mat-2010-70

Keywords

Coupled system, fixed point theory, pantograph boundary problem, Caputo conformable derivative

First Page

496

Last Page

519

Recommended Citation

THABET, S. T, ETEMAD, S, & REZAPOUR, S (2021). On a coupled Caputo conformable system of pantograph problems. Turkish Journal of Mathematics 45 (1): 496-519. https://doi.org/10.3906/mat-2010-70