New existence results for nonlinear functional hybrid differential equations involving the $\psi-$Caputo fractional derivative
Ali El Mfadel, Saïd Melliani, M’hamed Elomari
Abstract
In this manuscript, we are concerned with the existence result of nonlinear hybrid differential equations involving $\psi-$Caputo fractional derivatives of an arbitrary order $\alpha\in(0,1)$. By applying Krasnoselskii fixed point theorem and some fractional analysis techniques, we prove our main result. As application, a nontrivial example is given to demonstrate the effectiveness of our theoretical result.
Topics & Concepts
Fractional calculusMathematicsNonlinear systemFixed-point theoremOrder (exchange)Applied mathematicsDifferential equationMathematical analysisDerivative (finance)PhysicsQuantum mechanicsFinancial economicsEconomicsFinanceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods