Litcius/Paper detail

On a coupled Caputo conformable system of pantograph problems

Sabri T. M. Thabet, Sina Etemad, Shahram Rezapour

2020TURKISH JOURNAL OF MATHEMATICS80 citationsDOIOpen Access PDF

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.

Topics & Concepts

Conformable matrixPantographUniquenessMathematicsPoint (geometry)Cover (algebra)Applied mathematicsRiemann surfaceUniqueness theorem for Poisson's equationBoundary value problemCalculus (dental)Mathematical analysisEngineeringMechanical engineeringGeometryPhysicsQuantum mechanicsDentistryMedicineNonlinear Differential Equations AnalysisContact Mechanics and Variational InequalitiesBrake Systems and Friction Analysis