Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen
Abstract
This paper involves extended b −metric versions of a fractional differential equation, a system of fractional differential equations and two‐dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established in the setting of an extended b −metric space. Thereafter, by making consequent use of the fixed point technique, short and simple proofs are obtained for solutions of a fractional differential equation, a system of fractional differential equations and a two‐dimensional linear Fredholm integral equation.
Topics & Concepts
MathematicsDifferential equationFixed-point theoremMetric (unit)Metric spaceType (biology)Fractional calculusMathematical proofLinear differential equationMathematical analysisFixed pointFredholm integral equationIntegral equationApplied mathematicsEcologyEconomicsBiologyOperations managementGeometryFractional Differential Equations SolutionsFixed Point Theorems AnalysisNonlinear Differential Equations Analysis