scholarly journals A new class of fractional boundary value problems

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Bashir Ahmad ◽  
Ahmed Alsaedi ◽  
Afrah Assolami ◽  
Ravi P Agarwal
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
New Class ◽  
Fractional Boundary Value Problems

scholarly journals A New Proof of the Existence of Nonzero Weak Solutions of Impulsive Fractional Boundary Value Problems

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 856
Author(s):  
Asma Alharbi ◽  
Rafik Guefaifia ◽  
Salah Boulaaras
Keyword(s):  
Boundary Value Problems ◽  
Weak Solutions ◽  
Boundary Value ◽  
Linking Theorem ◽  
New Class ◽  
Fractional Boundary Value Problems

The paper deals with the existence of at least two non zero weak solutions to a new class of impulsive fractional boundary value problems via Brezis and Nirenberg’s Linking Theorem. Finally, an example is presented to illustrate our results.

scholarly journals Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Chanon Promsakon ◽  
Eakachai Suntonsinsoungvon ◽  
Sotiris K. Ntouyas ◽  
Jessada Tariboon
Keyword(s):  
Fractional Derivative ◽  
Boundary Value Problems ◽  
Caputo Fractional Derivative ◽  
Boundary Value ◽  
Contraction Mapping Principle ◽  
Uniqueness Result ◽  
New Class ◽  
Nonlinear Alternative ◽  
Separated Boundary Conditions ◽  
Fractional Boundary Value Problems

AbstractIn this paper, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with separated boundary conditions containing the Caputo fractional derivative of a function with respect to another function. The existence of solutions is established by using the Leray–Schauder nonlinear alternative, and the uniqueness result is proved via Banach’s contraction mapping principle. Some examples are also constructed to demonstrate the application of main results.

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 Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Yousef Gholami
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Higher Order ◽  
Coupled Systems ◽  
At Resonance ◽  
Uniqueness Criteria ◽  
Fractional Boundary Value Problems

Abstract This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance. Combining the coincidence degree theory with the Lipschitz-type continuity conditions on nonlinearities, we present some existence and uniqueness criteria. Finally, to practically implement the obtained theoretical criteria, we give an illustrative application.

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