INTEGRAL BOUNDARY-VALUE PROBLEM FOR IMPULSIVE FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

被引：0

作者：

Chauhan, Archana ^{[1
]}

Dabas, Jaydev ^{[2
]}

Kumar, Mukesh ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol, Dept Math, Allahabad 211004, Uttar Pradesh, India

[2] IIT Roorkee, Dept Appl Sci & Engn, Saharanpur 247001, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Fractional differential equation; integral boundary condition; impulsive conditions; infinite delay;

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 article, we establish a general framework for finding solutions for impulsive fractional integral boundary-value problems. Then, we prove the existence and uniqueness of solutions by applying well known fixed point theorems. The obtained results are illustrated with an example for their feasibility.

引用

页数：13

共 50 条

[31] LONG TIME BEHAVIOR OF FRACTIONAL IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Xu, Jiaohui
Caraballo, Tomas
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (06): : 2719 - 2743
[32] Existence results for impulsive neutral functional differential equations with infinite delay
Chang, Y. -K.
Anguraj, A.
Arjunan, M. Mallika
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (01) : 209 - 218
[33] Ulam stability for nonlinear boundary value problems for impulsive Caputo type fractional delay differential equations
Agarwal, Ravi P.
Hristova, Snezhana
O'Regan, Donal
BOUNDARY VALUE PROBLEMS, 2025, 2025 (01):
[34] Weakly perturbed linear boundary-value problem for system of fractional differential equations with Caputo derivative
Boichuk, Oleksandr
Feruk, Viktor
RESULTS IN APPLIED MATHEMATICS, 2024, 21
[35] Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions
Irguedi, Aida
Nisse, Khadidja
Hamani, Samira
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[36] A variational approach for boundary value problems for impulsive fractional differential equations
Ghasem A. Afrouzi
Armin Hadjian
Fractional Calculus and Applied Analysis, 2018, 21 : 1565 - 1584
[37] A VARIATIONAL APPROACH FOR BOUNDARY VALUE PROBLEMS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
Afrouzi, Ghasem A.
Hadjian, Armin
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (06) : 1565 - 1584
[38] NONTRIVIAL SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Guo, Yingxin
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (01) : 81 - 87
[39] POSITIVE SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Zhang, Shuqin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[40] Impulsive fractional functional differential equations
Guo, Tian Liang
Jiang, Wei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3414 - 3424

← 1 2 3 4 5 →