Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation

被引：3

作者：

Damag, Faten H. M.

Kilicman, Adem ^{[1
]}

机构：

[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 02期

关键词：

Fractional integral equation; existence of solution; Schaefer's fixed point theorem; non-expansive operator; FIXED-POINTS; APPROXIMATION; ORDER;

D O I：

10.22436/jnsa.010.02.03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study nonlinear quadratic iterative integral equations and establish sufficient conditions for the existence of Volterra solutions for fractional iterative integral equations and solvency in Banach space and C-l,C-B In the present work we use the principle of contraction, Schaefer's fixed point theorem and the non-expansive operator method as essential tools. In this study we consider Riemann-Liouville differential operator and prove some related theorems, further provide an example as an application. (C) 2017 all rights reserved.

引用

页码：368 / 376

页数：9

共 50 条

[1] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
Feng, Meiqiang
Liu, Xiaofang
Feng, Hanying
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2011,
[2] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
Meiqiang Feng
Xiaofang Liu
Hanying Feng
[J]. Advances in Difference Equations, 2011
[3] Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions
Min Li
Jian-Ping Sun
Ya-Hong Zhao
[J]. Advances in Difference Equations, 2020
[4] Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions
Li, Min
Sun, Jian-Ping
Zhao, Ya-Hong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[5] SUFFICIENT CONDITIONS FOR EXISTENCE OF A RANDOM SOLUTION OF A STOCHASTIC INTEGRAL-EQUATION
TSOKOS, CP
RAO, ANV
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (06): : A732 - &
[6] Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it
Rabbani, Mohsen
Das, Anupam
Hazarika, Bipan
Arab, Reza
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 370 (370)
[7] Existence of solution to fractional differential equation with fractional integral type boundary conditions
Ali, Anwar
Sarwar, Muhammad
Zada, Mian Bahadur
Shah, Kamal
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (02) : 1615 - 1627
[8] CONDITIONS FOR THE EXISTENCE AND UNIQUENESS OF THE SOLUTION OF NONLINEAR SINGULAR INTEGRAL EQUATION
赵达夫
[J]. 四川师范大学学报(自然科学版), 1991, (01) : 97 - 98
[9] Existence of a solution for the fractional differential equation with nonlinear boundary conditions
Zhang, Shuqin
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1202 - 1208
[10] EXISTENCE OF SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE AND FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
Nain, Ankit Kumar
Vats, Ramesh Kumar
Verma, Sachin Kumar
Sihag, Vizendar
[J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 75 - 84

← 1 2 3 4 5 →