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

作　　者：Dayanand K.VYAVAHARE Vinod V.KHARAT 

机构地区：[1]Department of Mathematics,Punyashlok Ahilyadevi Holkar Solapur University,Solapur-413255,India [2]Department of Mathematics,N.B.Navale Sinhgad College of Engineering,Solapur-413255,India

出　　处：《Journal of Mathematical Research with Applications》2023年第2期213-226,共14页数学研究及应用（英文版）

基　　金：Supported by Council of Scientific and Industrial Research-Human Resource Development Group(CSIR-HRDG)(Grant No.09/0990(11223)/2021-EMR-I)。

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.

关 键 词：Guo-Krasnoseleskii's fixed point theorem Banach contraction principle mixed nonlinear fractional delay differential equations integral boundary conditions EXISTENCE UNIQUENESS 

分 类 号：O175.8[理学—数学]