Solvability of some fractional differential equations in the Holder space Hγ(R+) and their numerical treatment via measures of noncompactness

被引：0

作者：

Kayvanloo, Hojjatollah Amiri ^{[1
]}

Mursaleen, Mohammad ^{[2
,3
]}

Mehrabinezhad, Mohammad ^{[1
]}

Najafabadi, Farzaneh Pouladi ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Razavi Khorasan, Iran

[2] China Med Univ Taiwan, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[3] Aligarh Muslim Univ, Aligarh 202002, Uttar Pradesh, India

来源：

MATHEMATICAL SCIENCES | 2023年 / 17卷 / 04期

关键词：

Darbo's theorem; Measures of noncompactness; Fractional differential equations; Homotopy perturbation method; Integral equation; HOMOTOPY PERTURBATION METHOD; BOUNDARY-VALUE PROBLEM; FUNCTIONAL INTEGRAL-EQUATIONS; INFINITE SYSTEM; EXISTENCE; ALGORITHM; FAMILY; ORDER;

D O I：

10.1007/s40096-022-00458-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the following fractional boundary value problem: {D-alpha upsilon(t)+f(t,upsilon(t)) = 0, alpha is an element of(1,2], 0<t<+infinity, upsilon(0)=0, D alpha-1 upsilon(infinity) = lambda integral(tau)(0) upsilon(t)dt. The goal of this paper is to bring forward a new family of measures of noncompactness and prove a fixed point theorem of Darbo type in the Holder space H-gamma(R+). Moreover, we provide an example which supports our main result and in carrying out an proximate solution for the mentioned example with high precision we apply several numerical methods.

引用

页码：387 / 397

页数：11

共 30 条

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[10] Solvability of some fractional differential equations in the Hölder space Hγ(R+)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {H}}_{\gamma }(\mathbb {R_+})$$\end{document} and their numerical treatment via measures of noncompactness
Hojjatollah Amiri Kayvanloo
Mohammad Mursaleen
Mohammad Mehrabinezhad
Farzaneh Pouladi Najafabadi
Mathematical Sciences, 2023, 17 (4) : 387 - 397

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