scholarly journals Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yansheng Liu ◽  
Huimin Yu
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Topological Degree ◽  
Differential Inclusions ◽  
Boundary Value ◽  
Degree Theory ◽  
Fractional Differential Inclusions ◽  
Topological Degree Theory ◽  
Existence Of Positive Solutions ◽  
Fractional Differential

Using Krein-Rutman theorem, topological degree theory, and bifurcation techniques, this paper investigates the existence of positive solutions for a class of boundary value problems of fractional differential inclusions.

scholarly journals Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Yansheng Liu
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Topological Degree ◽  
Boundary Value ◽  
Degree Theory ◽  
Topological Degree Theory ◽  
Existence Of Positive Solutions ◽  
Fractional Differential

This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. Finally, an example is worked out to demonstrate the main result.

scholarly journals Topological essentiality and differential inclusions

1992 ◽  
Vol 45 (2) ◽  
pp. 177-193 ◽  
Author(s):  
Lech Gorniewicz ◽  
Miroslaw Slosarski
Keyword(s):  
Boundary Value Problems ◽  
Large Class ◽  
Differential Inclusion ◽  
Topological Degree ◽  
Differential Inclusions ◽  
Boundary Value ◽  
Degree Theory ◽  
Multivalued Mappings ◽  
Topological Degree Theory ◽  
Lower Semi

In the present paper a concept of topological essentiality for a large class of multivalued mappings is introduced. This concept is strictly related to the Leray-Schauder topological degree theory but is simpler and also more general. Applying the above concept to boundary value problems for differential inclusion with both upper semi-continuous and lower semi-continuous right hand sides, several new results are obtained.

scholarly journals Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

2020 ◽  
Vol 6 (1) ◽  
pp. 62-75
Author(s):  
Ahmed Zahed ◽  
Samira Hamani ◽  
Johnny Henderson
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Fractional Differential Inclusions ◽  
Integral Conditions ◽  
Right Hand ◽  
Fractional Differential

AbstractFor r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.

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