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Güncel Gönderiler

Lyapunovtype inequalities for mixed nonlinear forced differential equations within conformable derivatives
(Springer, 20180620)We state and prove new generalized Lyapunovtype and Hartmantype inequalities fora conformable boundary value problem of order alpha is an element of (1,2] with mixed nonlinearities of the form ((T alpha X)Xa)(t) + ... 
On square integrable solutions of a fractional differential equation
(Elsevier Science Bv, 20181115)In this paper we construct the WeylTitchmarsh theory for the fractional SturmLiouville equation. For this purpose we used the Caputo and RiemannLiouville fractional operators having the order is between zero and one. 
Some fixed point results for TACtype contractive mappings
(Hindawi Publishing Corporation, 2016)We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some wellknown results ... 
On dilation, scattering and spectral theory for twointerval singular differential operators
(Soc Matematice Romania, 2015)This paper aims to construct a space of boundary values for minimal symmetric singular impulsivelike SturmLiouville (SL) operator in limitcircle case at singular end points a, b and regular inner point c. For this purpose ... 
Fuzzy prediction strategies for geneenvironment networks  fuzzy regression analysis for twomodal regulatory systems
(EDP Sciences, 201604)Targetenvironment networks provide a conceptual framework for the analysis and prediction of complex regulatory systems such as genetic networks, ecofinance networks or sensortarget assignments. These evolving networks ... 
Spectral analysis of the direct sum hamiltonian operators
(Natl Inquiry Services Centre, 201610)In this paper we investigate the deficiency indices theory and the selfadjoint and nonselfadjoint (dissipative, accumulative) extensions of the minimal symmetric direct sum Hamiltonian operators. In particular using the ... 
The quaternion group has ghost number three
(Academic Press Inc Elsevier Science, 20170101)We prove that the group algebra of the quaternion group Q(8) over any field of characteristic two has ghost number three. 
Regular fractional dissipative boundary value problems
(Springer, 20160701)In this manuscript we present a regular dissipative fractional operator associated with a fractional boundary value problem. In particular, we present two main dissipative boundary value problems and one of them contains ... 
Regular fractional differential equations in the sobolev space
(Walter De Gruyter GMBH, 201706)In this paper regular fractional SturmLiouville boundary value problems are considered. In particular, new inner products are described in the Sobolev space and a symmetric operator is established in this space. 
The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator
(Springer, 201706)In this paper, we introduce a new approach for the spectral analysis of a linear second order dissipative differential operator with distributional potentials. This approach is related with the inverse operator. We show ... 
Dirac systems with regular and singular transmission effects
(Scientific Technical Research Council TurkeyTUBİTAK, 2017)In this paper, we investigate the spectral properties of singular eigenparameter dependent dissipative problems in Weyl's limitcircle case with finite transmission conditions. In particular, these transmission conditions ... 
An algorithm for Hopf bifurcation analysis of a delayed reactiondiffusion model
(Springer, 201707)We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed reactiondiffusion equations with the Neumann boundary conditions. The conditions on parameters of the system that a Hopf ... 
On a new class of fractional operators
(Springer, 20170822)This manuscript is based on the standard fractional calculus iteration procedure on conformable derivatives. We introduce new fractional integration and differentiation operators. We define spaces and present some theorems ... 
Singular leftdefinite Hamiltonian systems in the Sobolev space
(INT Scientific Research Publications, 201708)This paper is devoted to construct Weyl's theory for the singular leftdefinite evenorder Hamiltonian systems in the corresponding Sobolev space. In particular, it is proved that there exist at least nlinearly independent ... 
Singular Dirac systems in the Sobolev space
(Scientific Technical Research Council TurkeyTUBİTAK, 2017)In this paper we construct Weyl's theory for the singular leftdefinite Dirac systems. In particular, we prove that there exists at least one solution of the system of equations that lies in the Sobolev space. Moreover, ... 
A generalized Lyapunovtype inequality in the frame of conformable derivatives
(Springer, 20171011)We prove a generalized Lyapunovtype inequality for a conformable boundary value problem (BVP) of order alpha is an element of (1, 2]. Indeed, it is shown that if the boundary value problem (T(alpha)(c)x)(t) + r(t) x(t) ... 
Dissipative operator and its Cayley transform
(Scientific Technical Research Council TurkeyTUBİTAK, 2017)In this paper, we investigate the spectral properties of the maximal dissipative extension of the minimal symmetric differential operator generated by a second order differential expression and dissipative and eigenparameter ... 
Singular multiparameter dynamic equations with distributional potentials on time scales
(Natl Inquiry Services Centre, 2017)In this paper, we consider both singular single and several multiparameter second order dynamic equations with distributional potentials on semiinfinite time scales. At first we construct Weyls theory for the single ... 
Some results on predatorprey dynamic systems with beddingtondeangelis type functional response on time scale calculus
(Dynamic Publishers, 201703)We consider two dimensional predatorprey system with BeddingtonDeAngelis type functional response on time scales. For this special case, we try to find under which conditions the system is permanent and globally attractive. ... 
Bifurcation analysis of a modified tumorimmune system interaction model involving time delay
(EDP Sciences, 2017)We study stability and Hopf bifurcation analysis of a model that refers to the competition between the immune system and an aggressive host such as a tumor. The model which describes this competition is governed by a ...