SOLUTIONS OF HIGHER ORDER FRACTIONAL DIFFERENTIAL EQUATIONS IN RIESZ SPACE WITH ANTI-PERIODIC BOUNDARY CONDITIONS

被引：0

作者：

Edward, Jenisha Linnet ^{[1
]}

Chanda, Ankush ^{[1
]}

Nashine, Hemant Kumar ^{[2
,3
]}

机构：

[1] Vellore Inst Technol, Dept Math, Sch Adv Sci, Vellore 632014, Tamil Nadu, India

[2] VIT Bhopal Univ, Sch Adv Sci & Languages, Div Math, Bhopal Indore Highway, Sehore 466114, Madhya Pradesh, India

[3] Univ Johannesburg, Dept Math & Appl Math, Kingsway Campus, ZA-2006 Auckland Pk, South Africa

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 09期

关键词：

Fixed point theorem; fractional differential equation; Riesz Caputo derivative; anti periodic boundary conditions; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we investigate the existence and uniqueness of anti periodic boundary value solutions for the Riesz-Caputo fractional differential equations (R0DL zeta)-D-C pi(rho) = Psi(rho,pi(rho)), zeta is an element of (3,4], 0 <= rho <= L pi(0) + pi(L) = 0, pi' (0) + pi' (L) = 0, pi"(0) + pi"(L) = 0, pi'''(0) + pi'''(L) = 0 where (R0DL zeta)-D-C is the Riesz-Caputo derivative and Psi : [0,L]x R -> R is a continuous function.

引用

页码：1929 / 1938

页数：10

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