Boundary value problems for differential inclusions with fractional order

2008 ◽  
Vol 28 (1) ◽  
pp. 147 ◽  
Author(s):  
Mouffak Benchohra ◽  
Samira Hamani
Keyword(s):  
Boundary Value Problems ◽  
Fractional Order ◽  
Differential Inclusions ◽  
Boundary Value

Boundary value problems for semilinear differential inclusions of fractional order in a Banach space

2017 ◽  
Vol 97 (4) ◽  
pp. 571-591 ◽  
Author(s):  
Mikhail Kamenskii ◽  
Valeri Obukhovskii ◽  
Garik Petrosyan ◽  
Jen-Chih Yao
Keyword(s):  
Banach Space ◽  
Boundary Value Problems ◽  
Fractional Order ◽  
Differential Inclusions ◽  
Boundary Value

scholarly journals Boundary-value problems for differential equations of fractional order

2013 ◽  
Vol 194 (5) ◽  
pp. 499-512 ◽  
Author(s):  
Temirkhan Sultanovich Aleroev ◽  
Mokhtar Kirane ◽  
Yi-Fa Tang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Order ◽  
Boundary Value

scholarly journals On Solutions of Fractional Order Boundary Value Problems with Integral Boundary Conditions in Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Hussein A. H. Salem ◽  
Mieczysław Cichoń
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fractional Order ◽  
Nonlinear Term ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Integral Boundary Conditions ◽  
Point Of View ◽  
Integral Boundary ◽  
Special Cases

The object of this paper is to investigate the existence of a class of solutions for some boundary value problems of fractional order with integral boundary conditions. The considered problems are very interesting and important from an application point of view. They include two, three, multipoint, and nonlocal boundary value problems as special cases. We stress on single and multivalued problems for which the nonlinear term is assumed only to be Pettis integrable and depends on the fractional derivative of an unknown function. Some investigations on fractional Pettis integrability for functions and multifunctions are also presented. An example illustrating the main result is given.

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