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1
Content available remote Solvability of a Coupled System of Fractional Differential Equations with Nonlocal and Integral Boundary Conditions
Ahmad B., Ntouyas S. K., Alsaedi A., Hobiny A.
Fundamenta Informaticae
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2017
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Vol. 151, nr 1/4
91--108
EN
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. The results are explained with the aid of examples. The case of nonlocal strip conditions is also discussed.
2
Content available Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions
Ntouyas S. K.
Opuscula Mathematica
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2013
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Vol. 33, no. 1
117-138
EN
This paper studies the boundary value problem of nonlinear fractional differential equations and inclusions of order q ∈ (1, 2] with nonlocal and integral boundary conditions. Some new existence and uniqueness results are obtained by using fixed point theorems.
3
Content available Boundary value problems for n-th order differential inclusions with four-point integral boundary conditions
Ahmad B., Ntouyas S. K.
Opuscula Mathematica
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2012
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Vol. 32, no. 2
205-226
EN
In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of n-th order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
4
Content available Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments
Ntouyas S. K, Wang G., Zhang L.
Opuscula Mathematica
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2011
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Vol. 31, no. 3
433-442
EN
In this paper, we investigate the existence and uniqueness of positive solutions to arbitrary order nonlinear fractional differential equations with advanced arguments. By applying some known fixed point theorems, sufficient conditions for the existence and uniqueness of positive solutions are established.
5
Content available Existence and attractivity results for nonlinear first order random differential equations
Dhage B. C., Ntouyas S. K
Opuscula Mathematica
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2010
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Vol. 30, no. 4
411-429
EN
In this paper, the existence and attractivity results are proved for nonlinear first order ordinary random differential equations. Two examples are provided to demonstrate the realization of the abstract developed theory.
6
Existence and controllability results for nonlinear differential inclusions with nonlocal conditions in Banach spaces
Benchohra M., Ntouyas S. K.
Journal of Applied Analysis
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2002
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Vol. 8, nr 1
33-48
EN
In this paper we investigate the existence and controllability of mild solutions to the first order semilinear evolution inclusions in Banach spaces with nonlocal conditions. We shall rely of a fixed point theorem for condensing maps due to Martelli.
7
Content available remote On an hyperbolic functional differential inclusion in Banach spaces
Benchohra M., Ntouyas S. K.
Fasciculi Mathematici
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2002
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Nr 33
27-35
EN
In this paper we investigate the existence of solutions to an hyperbolic functional differential inclusion in Banach spaces. We shall rely on a fixed point theorem for condensing maps due to of Martelli.
8
Content available remote An existence result for hyperbolic functional differential inclusions
Benchohra M., Ntouyas S. K.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2002
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[Z] 42(1)
1-16
EN
In this paper we investigate the existence of solutions on an unbounded domain to an hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension to multivalued on locally convex topological spaces, of Schaefer's theorem.
9
Content available remote Controllability of nonlinear integrodifferential inclusions in Banach spaces with nonlocal conditions
Benchohra M., Ntouyas S. K.
Fasciculi Mathematici
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2001
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Nr 31
5-22
EN
In this paper, we shall establish sufficient conditions for the controllability of semilinear integrodifferential inclusions in Banach spaces, with nonlocal conditions. We shall rely of a fixed point theorem for condensing maps due to Martelli.
10
Content available remote Existence of mild solutions on semi-infinite interval to second order differential equations with nonlocal conditions
Benchohra M., Ntouyas S.K.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2001
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[Z] 41
41-49
EN
In this paper we investigate the existence of mild solutions, on a semi infinite interval, to the second order differential equations in Banach spaces with nonlocal conditions. We shall rely on the theorem of Schauder-Tychonoff.
11
Content available remote Existence results for boundary value problems for differential equations with deviating arguments
Ntouyas S. K., Tsamatos P. CH.
Fasciculi Mathematici
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1998
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Nr 28
127-133
EN
In this paper, we prove existence results for boundary value problems for second order differential equation with deviating arguments. .
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