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Hybrid fractional integro-differential inclusions

100%
Ntouyas S., Laoprasittichok S., Tariboon J.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2015
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tom 35
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nr 2
151-164
EN
In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example illustrating the obtained result is also presented.
2
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Forced oscillation of conformable fractional partial delay differential equations with impulses

100%
Saker S. H., Logaarasi K., Sadhasivam V.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
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2020
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tom 74
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nr 2
EN
In this paper, we establish some interval oscillation criteria for impulsive conformable fractional partial delay differential equations with a forced term. The main results will be obtained by employing Riccati technique. Our results extend and improve some results reported in the literature for the classical differential equations without impulses. An example is provided to illustrate the relevance of the new theorems.
3
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On the controllability of fractional dynamical systems

100%
Balachandran K., Kokila J.
International Journal of Applied Mathematics and Computer Science
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2012
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tom 22
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nr 3
523-531
EN
This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.
4
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Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions

88%
Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2013
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tom 33
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nr 1
17-39
EN
This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
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