On a coupled Caputo conformable system of pantograph problems

Authors

SABRI T. M. THABET
SINA ETEMAD
SHAHRAM REZAPOUR

DOI

10.3906/mat-2010-70

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.

Keywords

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

First Page

496

Last Page

519

Recommended Citation

THABET, SABRI T. M.; ETEMAD, SINA; and REZAPOUR, SHAHRAM (2021) "On a coupled Caputo conformable system of pantograph problems," Turkish Journal of Mathematics: Vol. 45: No. 1, Article 31. https://doi.org/10.3906/mat-2010-70
Available at: https://journals.tubitak.gov.tr/math/vol45/iss1/31