Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative

被引：0

作者：

Bouriah, Soufyane ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Ozyurt, Selma Gulyaz ^{[3
]}

机构：

[1] Hassiba Benbouali Univ, Dept Math, Fac Exact Sci & Informat, POB 151, Chlef 02000, Algeria

[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[3] Sivas Cumhuriyet Univ, Fac Sci, Dept Math, POB 58140, Sivas, Turkiye

来源：

FILOMAT | 2023年 / 37卷 / 21期

关键词：

Hilfer-Katugampola fractional derivative; neutral fractional differential equations; existence; uniqueness; fixed point; INTEGRODIFFERENTIAL EQUATIONS; COMPARISON PRINCIPLE; DARBOUX PROBLEM;

D O I：

10.2298/FIL2321131B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the existence of solutions for a class of nonlinear neutral fractional dif-ferential equations with terminal condition and Hilfer-Katugampola fractional derivative. The arguments are based upon the Banach contraction principle, and Krasnoselskii's fixed point theorem. An example is included to show the applicability of our results.

引用

页码：7131 / 7147

页数：17

共 50 条

[21] Non-instantaneous impulsive Hilfer-Katugampola fractional stochastic differential equations with fractional Brownian motion and Poisson jumps
Ahmed, A. M. Sayed
Ahmed, Hamdy M. M.
JOURNAL OF CONTROL AND DECISION, 2024, 11 (02) : 317 - 327
[22] Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer-Katugampola fractional derivative
Ahmed, Idris
Kumam, Poom
Jarad, Fahd
Borisut, Piyachat
Sitthithakerngkiet, Kanokwan
Ibrahim, Alhassan
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[23] RETRACTION: Existence of solutions of nonlocal initial value problems for differential equations with Hilfer-Katugampola fractional derivative (Retraction of Vol 144, Pg 203, 2018)
Harikrishnan, S.
Kanagarajan, K.
Elsayed, E. M.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3903 - 3903
[24] Existence and finite-time stability results of fuzzy Hilfer-Katugampola fractional delay differential equations
Jiang, Yirong
Qiu, Jianwei
Meng, Fangxiu
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (02) : 2041 - 2050
[25] New Lyapunov-type inequalities for fractional multi-point boundary value problems involving Hilfer-Katugampola fractional derivative
Zhang, Wei
Zhang, Jifeng
Ni, Jinbo
AIMS MATHEMATICS, 2022, 7 (01): : 1074 - 1094
[26] RETRACTED ARTICLE: Existence of solutions of nonlocal initial value problems for differential equations with Hilfer–Katugampola fractional derivative
S. Harikrishnan
K. Kanagarajan
E. M. Elsayed
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 3903 - 3903
[27] ON RANDOM FRACTIONAL DIFFERENTIAL COUPLED SYSTEMS WITH HILFER–KATUGAMPOLA FRACTIONAL DERIVATIVE IN BANACH SPACES
Fouad Fredj
Hadda Hammouche
Abdelkrim Salim
Mouffak Benchohra
Journal of Mathematical Sciences, 2025, 289 (2) : 200 - 218
[28] BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATIONS WITH GENERALIZED HILFER-TYPE FRACTIONAL DERIVATIVE
Benchohra, Mouffak
Bouriah, Soufyane
Nieto, Juan J.
FIXED POINT THEORY, 2021, 22 (02): : 527 - 542
[29] Terminal value problem for causal differential equations with a Caputo fractional derivative
Yakar, Coskun
Arslan, Mehmet
TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (04) : 1042 - 1052
[30] Terminal Value Problem for Implicit Katugampola Fractional Differential Equations in b-Metric Spaces
Krim, Salim
Abbas, Said
Benchohra, Mouffak
Karapinar, Erdal
JOURNAL OF FUNCTION SPACES, 2021, 2021

← 1 2 3 4 5 →