scholarly journals ON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION

Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040002 ◽  
Author(s):  
SAMIHA BELMOR ◽  
F. JARAD ◽  
T. ABDELJAWAD ◽  
MANAR A. ALQUDAH
Keyword(s):  
Differential Inclusion ◽  
Fractional Order ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Research Work ◽  
Main Tool ◽  
Nonlinear Boundary Value Problems ◽  
Inclusion Problems ◽  
Contractive Maps ◽  
Fractional Differential

In this research work, we investigate the existence of solutions for a class of nonlinear boundary value problems for fractional-order differential inclusion with respect to another function. Endpoint theorem for [Formula: see text]-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.

scholarly journals Positive Solvability for Conjugate Fractional Differential Inclusion of (k,n-k) Type without Continuity and Compactness

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 170
Author(s):  
Ahmed Salem ◽  
Aeshah Al-Dosari
Keyword(s):  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Inclusion Type ◽  
Fractional Differential Inclusion ◽  
Fractional Differential

The monotonicity of multi-valued operators serves as a guideline to prove the existence of the results in this article. This theory focuses on the existence of solutions without continuity and compactness conditions. We study these results for the (k,n−k) conjugate fractional differential inclusion type with λ>0,1≤k≤n−1.

scholarly journals Lower and Upper Solutions for Even Order Boundary Value Problems

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 878
Author(s):  
Alberto Cabada ◽  
Lucía López-Somoza
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Periodic Boundary Conditions ◽  
Existence Of Solution ◽  
Lower And Upper Solutions ◽  
Nonlinear Boundary Value Problems ◽  
Even Order

In this paper, we prove the existence of solutions of nonlinear boundary value problems of arbitrary even order using the lower and upper solutions method. In particular, we point out the fact that the existence of a pair of lower and upper solutions of a considered problem could imply the existence of solution of another one with different boundary conditions. We consider Neumann, Dirichlet, mixed and periodic boundary conditions.

scholarly journals Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations withp-Laplacian Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Ilkay Yaslan Karaca ◽  
Fatma Tokmak
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Fixed Point Theorems ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Laplacian Operator ◽  
Impulsive Fractional Differential Equations ◽  
Fractional Differential

This paper studies the existence of solutions for a nonlinear boundary value problem of impulsive fractional differential equations withp-Laplacian operator. Our results are based on some standard fixed point theorems. Examples are given to show the applicability of our results.

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