LP-solutions for fractional integral equations-Reference-Cited by-同舟云学术

LP-solutions for fractional integral equations

Published:2013-12-28 Issue:1 Volume:17 Page:259-276
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Arshad Sadia,Lupulescu Vasile,O’Regan Donal¹

Affiliation:

1. School of Mathematics, Statistics and Applied Mathematics National University of Ireland, University Road, Galway, Ireland

Abstract

Abstract In this article, we examine L p-solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions. Also other types of existence and uniqueness results are established. At the end, an application is given to illustrate the main result.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-014-0166-4.pdf

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Martínez–Kaabar Fractal–Fractional Volterra Integral Equations of the Second Kind;Fractal and Fractional;2024-08-07

2. On Weighted Cauchy-Type Problem of Riemann-Liouville Fractional Differential Equations in Lebesgue Spaces with Variable Exponent;Universal Journal of Mathematics and Applications;2024-05-23

3. Caputo-Hadamard fractional boundary-value problems in $ {\mathfrak{L}}^\mathfrak{p} $-spaces;AIMS Mathematics;2024

4. RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS AND DERIVATIVES ON MORREY SPACES AND APPLICATIONS TO A CAUCHY-TYPE PROBLEM;Journal of Applied Analysis & Computation;2024

5. Terminal value problem for Riemann‐Liouville fractional differential equation in the variable exponent Lebesgue space Lp(.)$$ {L}^{p(.)} $$;Mathematical Methods in the Applied Sciences;2023-01-08