Applications of a Fixed Point Result for Solving Nonlinear Fractional and Integral Differential Equations
Liliana Guran, Zoran D. Mitrović, G. Sudhaamsh Mohan Reddy, Abdelkader Belhenniche, Stojan Radenović
Abstract
In this article, we apply one fixed point theorem in the setting of b-metric-like spaces to prove the existence of solutions for one type of Caputo fractional differential equation as well as the existence of solutions for one integral equation created in mechanical engineering.
Topics & Concepts
Fixed-point theoremMathematicsIntegral equationNonlinear systemFixed pointType (biology)Differential equationFractional calculusMathematical analysisApplied mathematicsPhysicsBiologyQuantum mechanicsEcologyFixed Point Theorems AnalysisFractional Differential Equations SolutionsNonlinear Differential Equations Analysis