EXISTENCE OF SOLUTION FOR HIGHER ORDER NONLINEAR CAPUTO FRACTIONAL DIFFERENTIAL EQUATION WITH NONLINEAR GROWTH

被引：0

作者：

Srivastava, Satyam Arayan ^{[1
]}

Dey, Rajarshi ^{[2
]}

Domoshnitsky, Alexander ^{[1
]}

Padhi, Seshadev ^{[2
]}

机构：

[1] Ariel Univ, Dept Math, IL-40700 Ariel, Israel

[2] Birla Inst Technol, Dept Math, Ranchi 835215, Jharkhand, India

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2024年 / 16卷 / 03期

关键词：

Caputo fractional derivative; existence of solution; nonlinear growth; coinci- dence degree theory; BOUNDARY-VALUE-PROBLEMS; SOLVABILITY;

D O I：

10.7153/dea-2024-16-12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research paper explores the existence of solution to a higher-order fractional differential equation with a general boundary condition, shedding light on novel extensions beyond existing literature. The equation, characterized by a Caputo fractional derivative exhibits non- linearity and resonance, making it a compelling subject of study. The investigation employs coincidence degree theory, a robust tool for the examination of differential equations and the identification of solution. Notably, this paper delves into nonlinear growth patterns of function. The main results of the research are accompanied by an illustrative example to clarify the concepts discussed.

引用

页码：199 / 213

页数：15

共 50 条

[41] ON PERIODIC PROBLEMS WITH NONLINEAR CAPUTO TEMPERED FRACTIONAL DIFFERENTIAL EQUATIONS
Bouriah, Soufyane
Salim, Abdelkrim
Benchohra, Mouffak
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 93 : 39 - 54
[42] Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions
El Allaoui, Abdelati
Allaoui, Youssef
Melliani, Said
El Khalfi, Hamid
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2024, 12 (03): : 438 - 453
[43] Existence of solutions for nonlinear singular fractional differential equations with fractional derivative condition
Li, Rengui
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[44] Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
Zhao, Zhiliang
Liang, Juhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) : 614 - 634
[45] Existence and uniqueness of solutions for nonlinear Volterra-Fredholm integro-differential equation of fractional order with boundary conditions
Laadjal, Zaid
Ma, Qing-Hua
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8215 - 8227
[46] HIGHER ORDER NONLOCAL NONLINEAR BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
Khan, Rahmat Ali
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (02) : 329 - 338
[47] Existence of positive solutions for systems of nonlinear fractional differential equation with p-Laplacian
Rao, S. Nageswara
Alesemi, Meshari
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (05)
[48] The Existence of Solutions for a Nonlinear First-Order Differential Equation Involving the Riemann-Liouville Fractional-Order and Nonlocal Condition
Gaafar, Fatma M.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (05)
[49] Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
Baleanu, Dumitru
Agarwal, Ravi P.
Mohammadi, Hakimeh
Rezapour, Shahram
BOUNDARY VALUE PROBLEMS, 2013,
[50] Existence result for nonlinear fractional differential equation with p-Laplacian operator at resonance
Hu, Lei
Zhang, Shuqin
Shi, Ailing
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2015, 48 (1-2) : 519 - 532

← 1 2 3 4 5 →