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Existence of Solutions for Fractional Differential Equations Involving Two Riemann-Liouville Fractional Orders

Existence of Solutions for Fractional Differential Equations Involving Two Riemann-Liouville Fractional Orders
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摘要 In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banach’s fixed point theorem, Leray-Schauder’s nonlinear alternative and Leray-Schauder’s degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed. In this work, we study existence and uniqueness of solutions for multi-point boundary value problem of nonlinear fractional differential equations with two fractional derivatives. By using the variety of fixed point theorems, such as Banach's fixed point theorem, Leray-Schauder's nonlinear alternative and Leray-Schauder's degree theory, the existence of solutions is obtained. At the end, some illustrative examples are discussed.
作者 Mohamed Houas
机构地区 Laboratory FIMA
出处 《Analysis in Theory and Applications》 CSCD 2018年第3期253-274,共22页 分析理论与应用(英文刊)
关键词 Riemann-Liouville integral EXISTENCE fixed point theorem Leray-Shauders alternative Riemann-Liouville integral existence fixed point theorem Leray-Shauders alternative
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