scholarly journals On a fractional differential inclusion via a new integral boundary condition

2014 ◽  
Vol 2014 (1) ◽  
pp. 319 ◽  
Author(s):  
R Ghorbanian ◽  
Vahid Hedayati ◽  
Mihai Postolache ◽  
Shahram Rezapour
Keyword(s):  
Boundary Condition ◽  
Differential Inclusion ◽  
Integral Boundary Condition ◽  
Integral Boundary ◽  
Fractional Differential Inclusion ◽  
Fractional Differential

scholarly journals New results for higher-order Hadamard-type fractional differential equations on the half-line

2021 ◽  
Author(s):  
Tugba Senlik Cerdik ◽  
Fulya Yoruk Deren
Keyword(s):  
Boundary Condition ◽  
Fixed Point ◽  
Boundary Value Problem ◽  
Fractional Integral ◽  
Boundary Value ◽  
Integral Boundary Condition ◽  
Fractional Boundary Value Problem ◽  
Integral Boundary ◽  
Multiplicity Results ◽  
Fractional Differential

The purpose of this paper is to analyze a new kind of Hadamard fractional boundary value problem combining integral boundary condition and multipoint fractional integral boundary condition on an infinite interval. By the help of the Bai-Ge’s fixed point theorem, multiplicity results of positive solutions are derived for the Hadamard fractional boundary value problem. In the end, to illustrative the main result, an example is also presented.

scholarly journals Nonlinear Boundary Value Problem of Fractional Differential Equations with Arguments under Integral Boundary Condition

2020 ◽  
Vol 51 (2) ◽  
pp. 101-112
Author(s):  
Dnyanoba B DHAIGUDE ◽  
Bakr Hussein Rizqan
Keyword(s):  
Boundary Condition ◽  
Existence And Uniqueness ◽  
Integral Boundary Condition ◽  
Uniqueness Of Solution ◽  
Weighted Norm ◽  
Integral Boundary ◽  
Monotone Iterative ◽  
Advanced Argument ◽  
Weakly Coupled ◽  
Fractional Differential

In this paper, we develop the existence and uniqueness theory of fractional differential equation involving Riemann-Liouville di¤erential operator of order 0 < < 1, with advanced argument under integral boundary condition. We show the uniqueness of solution by using Banach …xed point theorem with a weighted norm. We apply the comparison result and obtain the existence and uniqueness of solution by monotone iterative technique also by use weakly coupled extremal solution of (1.1).

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.

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