An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems

Prasad, Kapula Rajendra; Mahammad, Khuddush; Pogadadanda, Veeraiah

doi:10.22034/cmde.2020.41028.1780

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	An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems
Computational Methods for Differential Equations
مقاله 2، دوره 9، شماره 4، دی 2021، صفحه 940-958 اصل مقاله (174.65 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.41028.1780
نویسندگان
Kapula Rajendra Prasad؛ Khuddush Mahammad ؛ Veeraiah Pogadadanda
Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003-India.
چکیده
In this paper, we consider the iterative system of singular Rimean-Liouville fractional-order boundary value problems with Riemann-Stieltjes integral boundary conditions involving increasing homeomorphism and positive homomorphism operator(IHPHO). By using Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of an infinite number of nonnegative solutions. The sufficient conditions are also derived for the existence of a unique nonnegative solution to the addressed problem by fixed point theorem in complete metric space. As an application, we present an example to illustrate the main results.
کلیدواژه‌ها
Iterative system؛ Riemann-Stieltjes integral؛ Homeomorphism؛ Nonegative solutions

مراجع
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An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems