A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain

This paper investigates the existence of solutions for a coupled system of nonlinear fractional differential equations withm-point fractional boundary conditions on an unbounded domain. Some standard fixed point theorems are applied to obtain the main results. The paper concludes with two illustrative examples.

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Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line

Advances in Difference Equations ◽

10.1186/1687-1847-2013-46 ◽

2013 ◽

Vol 2013 (1) ◽

pp. 46 ◽

Cited By ~ 7

Author(s):

Yuji Liu ◽

Bashir Ahmad ◽

Ravi P Agarwal

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Differential Equations ◽

Existence Of Solutions ◽

Coupled System ◽

Half Line ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Fractional Boundary Conditions

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Nonlinear Fractional Differential Equations with Anti-periodic Type Fractional Boundary Conditions

Differential Equations and Dynamical Systems ◽

10.1007/s12591-012-0154-2 ◽

2012 ◽

Vol 21 (4) ◽

pp. 387-401 ◽

Cited By ~ 7

Author(s):

Bashir Ahmad

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Differential Equations ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Fractional Boundary Conditions

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ON EXISTENCE OF SOLUTION FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH FOUR-POINT NONLOCAL FRACTIONAL BOUNDARY CONDITIONS

Journal of Pure and Applied Mathematics Advances and Applications ◽

10.18642/jpamaa_7100121482 ◽

2015 ◽

pp. 137-151

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Differential Equations ◽

Existence Of Solution ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Fractional Boundary Conditions

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Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2009.07.091 ◽

2009 ◽

Vol 58 (9) ◽

pp. 1838-1843 ◽

Cited By ~ 298

Author(s):

Bashir Ahmad ◽

Juan J. Nieto

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Differential Equations ◽

Coupled System ◽

Existence Results ◽

Point Boundary ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential

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A Study of Coupled Systems of ψ-Hilfer Type Sequential Fractional Differential Equations with Integro-Multipoint Boundary Conditions

Fractal and Fractional ◽

10.3390/fractalfract5040162 ◽

2021 ◽

Vol 5 (4) ◽

pp. 162

Author(s):

Ayub Samadi ◽

Cholticha Nuchpong ◽

Sotiris K. Ntouyas ◽

Jessada Tariboon

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Fractional Differential Equations ◽

Fixed Point Theorems ◽

Coupled System ◽

Coupled Systems ◽

Uniqueness Of Solutions ◽

Multipoint Boundary Conditions ◽

Fractional Differential ◽

Sequential Fractional Differential Equations

In this paper, the existence and uniqueness of solutions for a coupled system of ψ-Hilfer type sequential fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions is investigated. The presented results are obtained via the classical Banach and Krasnosel’skiĭ’s fixed point theorems and the Leray–Schauder alternative. Examples are included to illustrate the effectiveness of the obtained results.

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