Unique solvability of fractional quadratic nonlinear integral equations

IF 0.7 Q3 MATHEMATICS, APPLIED Differential Equations & Applications Pub Date : 2021-01-01 DOI:10.7153/DEA-2021-13-01
Prof. Dr. Mohamed Abdalla Darwish, M. Metwali, D. Regan
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引用次数: 1

Abstract

. In this paper we study the existence of monotonic solutions of fractional nonlinear quadratic integral equations in the space of Lebesgue integrable functions on [ 0 , τ ] . The unique-ness of the solution is also discussed. In addition an example is given to illustrate our abstract results.
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分数阶二次非线性积分方程的唯一可解性
. 本文研究了分数阶非线性二次积分方程在[0,τ]上的Lebesgue可积函数空间中单调解的存在性。并讨论了解的唯一性。此外,还给出了一个例子来说明我们的抽象结果。
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Weakly nonlocal boundary value problems with application to geology Multiplicity results for critical fractional equations with sign-changing weight functions Unique solvability of fractional quadratic nonlinear integral equations Existence of solutions for a coupled system of Caputo type fractional-order differential inclusions with non-separated boundary conditions on multivalued maps Existence of solutions to nonlinear Sturm-Liouville problems with large nonlinearities
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