Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems

Autor: J. Caballero Mena, J. Harjani, K. Sadarangani

Publikováno v: Boundary Value Problems, Vol 2009 (2009)

We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.

Externí odkaz: https://doaj.org/article/deac3f57b45b49d99fdf075e8c9c0b54

Some properties of nonlinear Volterra-Stieltjes integral operators

Autor: J. Caballero Mena, J. Bana

Publikováno v: Computers & Mathematics with Applications. 49(9-10):1565-1573

We study some properties of the nonlinear Volterra-Stieltjes integral operator of general form which is defined with help of the Stieltjes integral with the kernel depending on two variables. The results obtained in the paper generalize those obtaine

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cab99842e6891e8b50340955805a1019

Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems

Autor: Kishin Sadarangani, J. Caballero Mena, J. Harjani

Publikováno v: Boundary Value Problems, Vol 2009, Iss 1, p 421310 (2009)
Boundary Value Problems 2009, 2009:421310
Boundary Value Problems, Vol 2009 (2009)

We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d49efc01afafabaabecb5a73e4ca90a1
http://www.boundaryvalueproblems.com/content/2009/421310

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