A Bilocal Problem Associated to a Fractional Differential Inclusion of Caputo-Fabrizio Type

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.

A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions

Advances in Difference Equations ◽

10.1186/s13662-020-02811-w ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Samiha Belmor ◽

Fahd Jarad ◽

Thabet Abdeljawad ◽

Gülsen Kılınç

Keyword(s):

Boundary Value Problem ◽

Differential Inclusion ◽

Boundary Value ◽

On antiperiodic boundary value problem for semilinear fractional differential inclusion with deviating argument in Banach space

Ufimskii Matematicheskii Zhurnal ◽

10.13108/2020-12-3-69 ◽

2020 ◽

Vol 12 (3) ◽

pp. 69-80

Author(s):

Garik Petrosyan

Keyword(s):

Banach Space ◽

Boundary Value Problem ◽

Differential Inclusion ◽

Boundary Value ◽

Deviating Argument ◽

Attainability to Solve Fractional Differential Inclusion on the Half Line at Resonance

Complexity ◽

10.1155/2020/9609108 ◽

2020 ◽

Vol 2020 ◽

pp. 1-13

Author(s):

Ahmed Salem ◽

Faris Alzahrani ◽

Aeshah Al-Dosari

Keyword(s):

Fractional Derivative ◽

Differential Inclusion ◽

Positive Solutions ◽

Unbounded Domain ◽

Existence Results ◽

Half Line ◽

At Resonance ◽

The presented article is deduced about the positive solutions of the fractional differential inclusion at resonance on the half line. The fractional derivative used is in the sense of Riemann–Liouville and the problem is supplemented by unseparated conditions. The existence results are illustrated in view of Leggett–Williams theorem due to O’Regan and Zima on unbounded domain.

Some remarks on a fractional differential inclusion with non-separated boundary conditions

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2011.1.45 ◽

2011 ◽

pp. 1-14 ◽

Cited By ~ 2

Author(s):

Aurelian Cernea

Keyword(s):

Boundary Conditions ◽

Differential Inclusion ◽

Separated Boundary Conditions ◽

On a fractional differential inclusion via a new integral boundary condition

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2014-319 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 319 ◽

Cited By ~ 12

Author(s):

R Ghorbanian ◽

Vahid Hedayati ◽

Mihai Postolache ◽

Shahram Rezapour

Keyword(s):

Boundary Condition ◽

Differential Inclusion ◽

Integral Boundary Condition ◽

Integral Boundary ◽

On a fractional differential inclusion with “maxima”

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2016-0067 ◽

2016 ◽

Vol 19 (5) ◽

Cited By ~ 2

Author(s):

Aurelian Cernea

Keyword(s):

Fixed Point ◽

Boundary Value Problem ◽

Differential Inclusion ◽

Fixed Point Theorems ◽

Boundary Value ◽

Existence Results ◽

Right Hand ◽

Fractional Differential ◽

The Right

Abstract We study a boundary value problem associated to a fractional differential inclusion with “maxima”. Several existence results are obtained by using suitable fixed point theorems when the right hand side has convex or non convex values.