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

[21] A sufficient condition for the existence of a positive solution for a nonlinear fractional differential equation with the Riemann-Liouville derivative
Yang Liu
Zhang Weiguo
Liu Xiping
APPLIED MATHEMATICS LETTERS, 2012, 25 (11) : 1986 - 1992
[22] Existence of positive solution and Hyers–Ulam stability for a nonlinear singular-delay-fractional differential equation
Hasib Khan
Thabet Abdeljawad
Muhammad Aslam
Rahmat Ali Khan
Aziz Khan
Advances in Difference Equations, 2019
[23] EXISTENCE AND UNIQUENESS RESULTS FOR A TWO-POINT NONLINEAR BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE ORDER
Awad, Yahia
Fakih, Hussein
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (03): : 1068 - 1084
[24] Existence of solutions of nonlinear fractional differential equations at resonance
Rui, Wenjuan
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (66) : 1 - 12
[25] Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with ψ-Caputo derivative
Bouriah, Soufyane
Foukrach, Djamal
Benchohra, Mouffak
Graef, John
ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (03) : 575 - 587
[26] Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
Wu, Jing
Zhang, Xinguang
ABSTRACT AND APPLIED ANALYSIS, 2012,
[27] EXISTENCE OF SOLUTIONS TO NONLINEAR p-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATIONS WITH HIGHER-ORDER DERIVATIVE TERMS
Su, You-Hui
Yun, Yongzhen
Wang, Dongdong
Hu, Weimin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[28] Existence result for a nonlinear fractional differential equation with integral boundary conditions at resonance
Zhang, Shuqin
Hu, Lei
Shi, Ailing
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[29] Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Lan, Kunquan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (06) : 6930 - 6942
[30] Qualitative analysis of nonlinear implicit neutral differential equation of fractional order
Hashem, H. H. G.
Alrashidi, Hessah O.
AIMS MATHEMATICS, 2021, 6 (04): : 3703 - 3719

← 1 2 3 4 5 →