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
收藏
页码：199 / 213
页数：15
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