Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative

2012 ◽  
Vol 15 (3) ◽  
Author(s):  
Bashir Ahmad ◽  
Juan Nieto
Keyword(s):  
Boundary Value Problems ◽  
Lower Order ◽  
Nonlinear Term ◽  
Boundary Value ◽  
Existence And Uniqueness Results ◽  
New Class ◽  
Uniqueness Results ◽  
Periodic Boundary Value Problems ◽  
Fractional Differential ◽  
Fractional Boundary Value Problems

AbstractThis paper studies a new class of anti-periodic boundary value problems of fractional differential equations with nonlinear term depending on lower order fractional derivative. Some existence and uniqueness results are obtained by applying some standard fixed point principles. Several examples are given to illustrate the results.

scholarly journals On a New Class of Antiperiodic Fractional Boundary Value Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Bashir Ahmad ◽  
Juan J. Nieto ◽  
Ahmed Alsaedi ◽  
Nadia Mohamad
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Existence And Uniqueness Results ◽  
New Class ◽  
Uniqueness Results ◽  
Fractional Differential ◽  
Fractional Boundary Value Problems ◽  
Fixed Point Principles

This paper investigates a new class of antiperiodic boundary value problems of higher order fractional differential equations. Some existence and uniqueness results are obtained by applying some standard fixed point principles. Some examples are given to illustrate the results.

scholarly journals Notes on Local and Nonlocal Intuitionistic Fuzzy Fractional Boundary Value Problems with Caputo Fractional Derivatives

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Ali El Mfadel ◽  
Said Melliani ◽  
M’hamed Elomari
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Fractional Derivatives ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Caputo Fractional Derivatives ◽  
Existence And Uniqueness Results ◽  
Intuitionistic Fuzzy ◽  
Uniqueness Results ◽  
Fractional Boundary Value Problems

In this paper, we investigate the existence and uniqueness results of intuitionistic fuzzy local and nonlocal fractional boundary value problems by employing intuitionistic fuzzy fractional calculus and some fixed-point theorems. As an application, we conclude this manuscript by giving an example to illustrate the obtained results.

scholarly journals New class of boundary value problem for nonlinear fractional differential equations involving Erdélyi-Kober derivative

2019 ◽  
Vol 27 (2) ◽  
pp. 113-141
Author(s):  
Yacine Arioua ◽  
Maria Titraoui
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Nonlinear Fractional Differential Equations ◽  
Existence And Uniqueness Results ◽  
New Class ◽  
Uniqueness Results ◽  
Nonlinear Alternative ◽  
Fractional Differential

AbstractIn this paper, we introduce a new class of boundary value problem for nonlinear fractional differential equations involving the Erdélyi-Kober differential operator on an infinite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results.

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