A New Result for Fractional Differential Equation With Nonlocal Initial Value Using Caputo-Fabrizio Derivative

被引：1

作者：

Mokhtary, Z. ^{[1
]}

Ghaemi, M. B. ^{[2
]}

Salahshour, S. ^{[3
,4
]}

机构：

[1] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran

[2] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

[3] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey

[4] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

来源：

FILOMAT | 2022年 / 36卷 / 09期

关键词：

Fractional differential equations; Caputo-Fabrizio derivative; Nonlocal condition; Fixed point; EXISTENCE; DIFFUSION; SCHEME; MODEL;

D O I：

10.2298/FIL2209881M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using Caputo-Fabrizio fractional derivative, we obtain some new results for the existence and uniqueness of solutions of differential equation with nonlocal initial value about fractional order 0 < alpha <1. These results are applied with the help of Arzela-Ascoli theorem and Schauder fixed point. Also based on some alpha-contractive maps for such problems, some new unique theorem has been introduced and proved. Finally, some illustrative example is considered to show the effectiveness of the results.

引用

页码：2881 / 2890

页数：10

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