Degree theory and existence of positive solutions to coupled system involving proportional delay with fractional integral boundary conditions
Anwar Ali, Muhammad Sarwar, Mian Bahadur Zada, Kamal Shah
Abstract
The purpose of this paper is to obtain the existence of at least one solution to the following coupled system of nonlinear fractional order differential equations under the integral type boundary conditions by using topological degree theory where , , denotes the standard Caputo fractional derivative, , and are continuous functions. For this intention, some results for the existence of at least one solution are constructed. For the validity of our results, an appropriate example is presented.
Topics & Concepts
MathematicsDegree (music)Fractional calculusMathematical analysisNonlinear systemBoundary value problemOrder (exchange)Boundary (topology)Type (biology)Applied mathematicsBiologyEconomicsQuantum mechanicsEcologyPhysicsAcousticsFinanceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods