Positive solutions for a Riemann-Liouville-type impulsive fractional integral boundary value problem

In this work, we investigate a Riemann-Liouville-type impulsive fractional integral boundary value problem. Using the fixed point index, we obtain two existence theorems on positive solutions under some conditions concerning the spectral radius of the relevant linear operator. Our method improves an...

Full description

Bibliographic Details
Published in:	AIMS Mathematics
Main Authors:	Keyu Zhang, Qian Sun, Donal O'Regan, Jiafa Xu
Format:	Article
Language:	English
Published:	AIMS Press 2024-03-01
Subjects:	fractional-order differential equations integral boundary value problems impulse positive solutions fixed point index
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2024533?viewType=HTML

Similar Items

Solvability of a Riemann–Liouville-Type Fractional-Impulsive Differential Equation with a Riemann–Stieltjes Integral Boundary Condition
by: Keyu Zhang, et al.
Published: (2025-05-01)

Positive Solutions for a System of Riemann–Liouville Type Fractional-Order Integral Boundary Value Problems
by: Keyu Zhang, et al.
Published: (2022-08-01)

Positive solutions for a Hadamard-type fractional-order three-point boundary value problem on the half-line
by: Jiafa Xu, et al.
Published: (2025-01-01)

Positive solutions for a Hadamard-type fractional p-Laplacian integral boundary value problem
by: Yihui Xu, et al.
Published: (2024-04-01)

Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives
by: Zhengqing Fu, et al.
Published: (2019-04-01)

Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem
by: Yanfang Li, et al.
Published: (2024-05-01)

Solvability for a Hadamard-type fractional integral boundary value problem
by: Jiafa Xu, et al.
Published: (2023-04-01)

Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions
by: Jiqiang Jiang, et al.
Published: (2019-07-01)

Solvability of a Boundary Value Problem Involving Fractional Difference Equations
by: Zhiwei Lv, et al.
Published: (2023-06-01)

Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem
by: Keyu Zhang, et al.
Published: (2023-02-01)

Existence and Integral Representation of Scalar Riemann-Liouville Fractional Differential Equations with Delays and Impulses
by: Ravi Agarwal, et al.
Published: (2020-04-01)

Multiplicity and nonexistence of positive solutions to impulsive Sturm–Liouville boundary value problems
by: Xuxin Yang, et al.
Published: (2024-04-01)

Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions
by: Chengjun Yuan, et al.
Published: (2012-02-01)

Positive solutions for a class of fractional boundary value problems
by: Jiafa Xu, et al.
Published: (2016-01-01)

Nonlinear first-order periodic boundary-value problems of impulsive dynamic equations on time scales
by: Wen Guan, et al.
Published: (2012-11-01)

Periodic boundary value problems for Riemann-Liouville sequential fractional differential equations
by: Zhongli Wei, et al.
Published: (2011-11-01)

Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations
by: Paul W. Eloe, et al.
Published: (2019-05-01)

Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation
by: Mohammed Belmekki, et al.
Published: (2014-04-01)

Existence of Positive Solutions to Boundary Value Problems with Mixed Riemann–Liouville and Quantum Fractional Derivatives
by: Nemat Nyamoradi, et al.
Published: (2023-09-01)

<i>p</i>-Moment Mittag–Leffler Stability of Riemann–Liouville Fractional Differential Equations with Random Impulses
by: Ravi Agarwal, et al.
Published: (2020-08-01)

Ulam–Hyers Stability and Simulation of a Delayed Fractional Differential Equation with Riemann–Stieltjes Integral Boundary Conditions and Fractional Impulses
by: Xiaojun Lv, et al.
Published: (2024-10-01)

Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann–Stieltjes integral boundary value conditions
by: Lishan Liu, et al.
Published: (2020-08-01)

Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations
by: Ahmed Malti, et al.
Published: (2020-12-01)

Existence of solutions of impulsive boundary value problems for singular fractional differential systems
by: Yuji Liu
Published: (2017-12-01)

The existence and stability results of multi-order boundary value problems involving Riemann-Liouville fractional operators
by: Hasanen A. Hammad, et al.
Published: (2023-03-01)

On existence and uniqueness of positive solutions to a class of fractional boundary value problems
by: Caballero J, et al.
Published: (2011-01-01)

Ulam stability for nonlinear boundary value problems for impulsive Caputo type fractional delay differential equations
by: Ravi P. Agarwal, et al.
Published: (2025-04-01)

Analysis of Impulsive Boundary Value Pantograph Problems via Caputo Proportional Fractional Derivative under Mittag–Leffler Functions
by: Bounmy Khaminsou, et al.
Published: (2021-12-01)

Existence of Solutions for Caputo Sequential Fractional Differential Inclusions with Nonlocal Generalized Riemann–Liouville Boundary Conditions
by: Murugesan Manigandan, et al.
Published: (2024-07-01)

Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions
by: Chanon Promsakon, et al.
Published: (2018-10-01)

Existence and uniqueness for a coupled system of fractional equations involving Riemann-Liouville and Caputo derivatives with coupled Riemann-Stieltjes integro-multipoint boundary conditions
by: Ymnah Alruwaily, et al.
Published: (2023-02-01)

Extremal Solutions for a Caputo-Type Fractional-Order Initial Value Problem
by: Keyu Zhang, et al.
Published: (2025-05-01)

Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer
by: Chunjing GUO, et al.
Published: (2023-04-01)

Semi-linear impulsive higher order boundary value problems
by: Feliz Minhós, et al.
Published: (2020-12-01)

Existence and uniqueness of solutions to first-order systems of nonlinear impulsive boundary-value problems with sub-, super-linear or linear growth
by: Christopher C. Tisdell, et al.
Published: (2007-07-01)

Existence and compatibility of positive solutions for boundary value fractional differential equation with modified analytic kernel
by: Amna Kalsoom, et al.
Published: (2023-01-01)

Multi-parameter second-order impulsive indefinite boundary value problems
by: Lishuai Jiao, et al.
Published: (2018-05-01)

Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results
by: Azam Fathipour, et al.
Published: (2025-06-01)

Approximate Iterative Method for Initial Value Problem of Impulsive Fractional Differential Equations with Generalized Proportional Fractional Derivatives
by: Ravi P. Agarwal, et al.
Published: (2021-08-01)

Boundary controllability of impulsive nonlinear fractional delay integro-differential system
by: Hamdy M. Ahmed
Published: (2016-12-01)