We study a new phenomenon of the behaviour of widths with respect to the optimality of trigonometric system. It is shown that the trigonometric system is optimal in the sense of Kolmogorov widths in the case of "super-high" ...
Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan(Scientific Technical Research Council Turkey-Tubitak, 2018)
This paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is ...
Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan(Scientific Technical Research Council Turkey-Tubitak, 2018)
This paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is ...
Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)
This paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is ...
This paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is ...
The common fixed point for ordered generalized φ−contraction in the environment of an ordered fuzzy metric space is determined under min-imum possible conditions. A result in ordered metric space is also obtained. The work ...
A necessary and sufficient condition is obtained for oscillation of bounded solutions of second order impulsive delay differential equations of the form
(r(t)x(t))'+p(t)f(x(i(t)))=0,
t not equal theta Delta(r(theta ...
The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the ...
Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan(Walter De Gruyter GMBH, 2017-06)
In this paper regular fractional Sturm-Liouville 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.
In this paper, we consider a system of first-order equations with the same eigenvalue parameter together with dissipative boundary conditions. Applying Lax-Phillips scattering theory and Sz.-Nagy-Foiaş model operator theory ...
Uğurlu, Ekin; Taş, Kenan; Baleanu, Dumitru(INT Scientific Research Publications, 2017-08)
This paper is devoted to construct Weyl's theory for the singular left-definite even-order Hamiltonian systems in the corresponding Sobolev space. In particular, it is proved that there exist at least n-linearly independent ...
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 well-known results ...
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 well-known results ...
It is proved that the non-commutative neutrix product of the distributions x-r and xslnq|x| exists and [image omitted] for r, q=1, 2, , s=0,1,2, and r-s1
The non-commutative convolution f * g of two distributions f and g in V is defined to be the limit of the sequence {(f tau(n)) * g}, provided the limit exists, where {tau(n)} is a certain sequence of functions in D converging ...
LetVandWbe any convex and origin-symmetric bodies inRn.AssumethatforsomeA∈L(Rn→Rn),detA̸=0,Viscontainedin the ellipsoidA−1Bn(2), whereBn(2)is the unit Euclidean ball. WegivealowerboundfortheW-radiusofsectionsofA−1Vintermsof ...
This manuscript has two aims: first we extend the definitions of compatibility and weakly reciprocally continuity, for a trivariate mapping F and a self-mapping g akin to a compatible mapping as introduced by Choudhary and ...
Dinç, Erdal; Özdemir, Abdil; Baleanu, Dumitru; Taş, Kenan(Chiminform Data SA, 2006-05)
Quantitative multiresolution analysis of paracetamol (PAR), ascorbic acid (AA) and acetylsalicylic acid (ASP) in pharmaceutical samples was carried out by using simultaneous use of discrete wavelet transformation (DWT) and ...
We develop a general method to calculate entropy and n-widths of sets of smooth functions on an arbitrary compact homogeneous Riemannian manifold M-d. Our method is essentially based on a detailed study of geometric ...