A Positive Solution of Mixed Non-Linear Fractional Delay Differential Equations with Integral Boundary Conditions

中文关键词:  Guo-Krasnoseleskii's fixed point theorem  Banach contraction principle  mixed non-linear fractional delay differential equations  integral boundary conditions  existence  uniqueness

英文关键词:Guo-Krasnoseleskii's fixed point theorem  Banach contraction principle  mixed non-linear fractional delay differential equations  integral boundary conditions  existence  uniqueness

中文摘要:

      In this paper, we study mixed non-linear fractional delay differential equations with integral boundary conditions. We obtain an equivalence result between the proposed problem and non-linear Fredholm integral equation of the second kind. Further, we establish existence and uniqueness of positive solutions for the problem using Guo-Krasnoseleskii's fixed point theorem and Banach contraction principle.

英文摘要:

      In this paper, we study mixed non-linear fractional delay differential equations with integral boundary conditions. We obtain an equivalence result between the proposed problem and non-linear Fredholm integral equation of the second kind. Further, we establish existence and uniqueness of positive solutions for the problem using Guo-Krasnoseleskii's fixed point theorem and Banach contraction principle.