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Stability of caputo fractional differential equations by lyapunov functions
(Institute of Mathematics, Czech Academy of Sciences, 2015-12-01)
The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions. The novelty of this paper is based on the new definition of the derivative ...
Positive solutions for singular nonlocal boundary value problems involving integral conditions with derivative dependence
(Walter de Gruyter GmbH, 2015-01-01)
In this paper using a fixed point theory on a cone we present some new results on the existence of multiple positive solutions for singular nonlocal boundary value problems involving integral conditions with derivative dependence.
Multi- c ∗ $c^{*}$ -ternary algebras and applications
(Springer Nature, 2015-07-15)
In this paper, we look at the concept of multi-C*-ternary algebras and consider some properties. As an application we approximate multi-C*-ternary algebra homomorphisms and derivations in these spaces.
Nonlinear fractional differential equations in nonreflexive banach spaces and fractional calculus
(Springer Nature, 2015-04-04)
The aim of this paper is to correct some ambiguities and inaccuracies in Agarwal et al. (Commun. Nonlinear Sci. Numer. Simul. 20(1): 59-73, 2015; Adv. Differ. Equ. 2013: 302, 2013, doi:10.1186/1687-1847-2013-302) and to ...
Lyapunov functions and strict stability of caputo fractional differential equations
(Springer Nature, 2015-11-06)
One of the main properties studied in the qualitative theory of differential equations is the stability of solutions. The stability of fractional order systems is quite recent. There are several approaches in the literature ...
Structure of the solution set for a partial differential inclusion
(Springer Nature, 2015-12-01)
In this paper, we consider the biharmonic problem of a partial differential inclusion with Dirichlet boundary conditions. We prove existence theorems for related partial differential inclusions with convex and nonconvex ...
Lyapunov-type inequalities for a class of fractional differential equations
(Springer Nature, 2015-08-08)
In this paper, we establish new Lyapunov-type inequalities for a class of fractional boundary value problems. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.
Fixed points of conditionally f-contractions in complete metric-like spaces
(Springer Nature, 2015-07-23)
In this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve ...
On the existence of fixed points that belong to the zero set of a certain function
(Springer Nature, 2015-08-25)
Let T : X -> X be a given operator and F-T be the set of its fixed points. For a certain function phi : X -> [0,infinity), we say that F-T is phi-admissible if F-T is nonempty and F-T subset of Z(phi), where ...