scholarly journals Existence Results of Fractional Mixed Volterra -Fredholm Integrodifferential Equations with Integral Boundary Conditions

2011 ◽  
Vol 8 (1) ◽  
pp. 157-169
Author(s):  
Sohaib Hasan ◽  
Rabeea Hani
Keyword(s):  
Boundary Conditions ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Integrodifferential Equations ◽  
Integral Boundary

scholarly journals Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Xiaoyou Liu ◽  
Zhenhai Liu
Keyword(s):  
Boundary Conditions ◽  
Lower Order ◽  
Differential Inclusions ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Inclusion Problem ◽  
Fractional Differential Inclusions ◽  
Integral Boundary ◽  
Separated Boundary Conditions ◽  
Fractional Differential

This paper is concerned with a class of fractional differential inclusions whose multivalued term depends on lower-order fractional derivative with fractional (non)separated boundary conditions. The cases of convex-valued and non-convex-valued right-hand sides are considered. Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. Examples are given to illustrate the results.

scholarly journals Some remarks on a fractional integro-differential inclusion with boundary conditions

2015 ◽  
Vol 23 (1) ◽  
pp. 73-82
Author(s):  
Aurelian Cernea
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Integral Boundary ◽  
Filippov Type

AbstractWe study the existence of solutions for fractional integrodifferential inclusions of order q ∈ (1, 2] swith families of mixed, closed, strip and integral boundary conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.

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