Browsing by Author "Tas, K."

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Citation - WoS: 5
Citation - Scopus: 6
Application of Sumudu and Double Sumudu Transforms To Caputo-Fractional Differential Equations
(Eudoxus Press, Llc, 2012) Jarad, Fahd; Jarad, Fahd; Tas, K.; Taş, Kenan; 4971; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The definition, properties and applications of the Sumudu transform to ordinary differential equations are described in [1-3]. In this manuscript we derive the formulae for the Sumudu and double Sumudu transforms of ordinary and partial fractional derivatives and apply them in solving Caputo-fractional differential equations. Our purpose here is to show the applicability of this new transform and its efficiency in solving such problems.
Citation - Scopus: 3
Applications and Common Coupled Fixed Point Results in Ordered Partial Metric Spaces
(Springer International Publishing, 2017) Rao, K.; Kishore, G.; Tas, K.; Satyanaraya, S.; Ram Prasad, D.; 4971; 01. Çankaya Üniversitesi
In this paper, we obtain a unique common coupled fixed point theorem by using (ψ, α, β) -contraction in ordered partial metric spaces. We give an application to integral equations as well as homotopy theory. Also we furnish an example which supports our theorem. © 2017, The Author(s).
Citation - WoS: 7
Citation - Scopus: 7
Coupled Fixed Point Theorems for Generalized Symmetric Contractions in Partially Ordered Metric Spaces and Applications
(Eudoxus Press, Llc, 2014) Jain, M.; Taş, Kenan; Tas, K.; Rhoades, B. E.; Gupta, N.; 4971; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In the setting of partially ordered metric spaces, we introduce the notion of generalized symmetric g-Meir-Keeler type contractions and use the notion to establish the existence and uniqueness of coupled common fixed points. Our notion extends the notion of generalized symmetric Meir-Keeler contractions given by Berinde et. al. [V. Berinde, and M. Pacurar, Coupled fixed point theorems for generalized symmetric Meir-Keeler contractions in ordered metric spaces, Fixed Point Theory and Appl., 2012, 2012:115, doi:10.1186/1687-1812-2012-115] to a pair of mappings. We also give some applications of our main results.
Citation - WoS: 198
Citation - Scopus: 194
Existence and Uniqueness of a Common Fixed Point on Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2011) Abdeljawad, T.; Karapinar, E.; Tas, K.; 19184; 4971; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this work, a general form of the weak phi-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S, T on a complete partial metric space X have a common fixed point if it is a generalized weak phi-contraction. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - WoS: 3
Citation - Scopus: 4
A Gregus Type Common Fixed Point Theorem of Set-Valued Mappings in Cone Metric Spaces
(Eudoxus Press, Llc, 2011) Abdeljawad, Thabet; Abdeljawad, T.; Murthy, P. P.; Taş, Kenan; Tas, K.; 4971; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The main purpose of this paper is to obtain a common fixed point theorem for a pair of set-valued mappings of Gregus type condition in cone metric spaces, so that the main result obtained in [13] will be generalized to cone metric spaces. The cone under consideration will be normal with normal constant K = 1.
Citation - Scopus: 5
A New Class of Contraction in B -Metric Spaces and Applications
(Hindawi Limited, 2017) Kumar, S.; Tas, K.; Kaushik, P.; 4971; 01. Çankaya Üniversitesi
A novel class of α-β-contraction for a pair of mappings is introduced in the setting of b-metric spaces. Existence and uniqueness of coincidence and common fixed points for such kind of mappings are investigated. Results are supported with relevant examples. At the end, results are applied to find the solution of an integral equation. © 2017 Preeti Kaushik et al.
Citation - WoS: 5
Citation - Scopus: 5
On the Composition of the Distributions X+-R and X+μ
(indian Nat Sci Acad, 2005) Fisher, B.; Tas, K.; 01. Çankaya Üniversitesi
Let F be a distribution and let f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {F n (f)}, where Fn (x) = F (x) * δn (x) and {δn (x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta function δ (x). The distribution (x+μ)+-r and ( l x lμ)+-r are evaluated for μ > 0, r = 1, 2, ..., and kμ ≠ 1, 2,... © Printed in India.
Citation - WoS: 3
Citation - Scopus: 2
On the Non-Commutative Neutrix Product of the Distributions X^λ+ and X^μ+
(Springer Heidelberg, 2006) Tas, K.; Fisher, B.; 4971; 01. Çankaya Üniversitesi
Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequence converging to the Dirac delta function. The non-commutative neutrix product f circle g of f and g is defined to be the limit of the sequence {fg(n)}, provided its limit h exists in the sense that [GRAPHICS] for all functions p in D. It is proved that (x(+)(lambda)ln(p)x(+)) circle (x(+)(mu)ln(q)x(+)) = x(+)(lambda+mu)ln(p+q)x(+), (x(-)(lambda)ln(p)x(-)) circle (x(-)mu ln(q)x(-)) = x(-)(lambda+mu)ln(p+q)x(-), for lambda + mu < -1; lambda,mu,lambda+mu not equal -1,-2,... and p,q = 0,1,2.....
Citation - WoS: 4
Citation - Scopus: 4
On the Optimality of the Trigonometric System
(Academic Press inc Elsevier Science, 2020) Jarad, Fahd; Kushpel, A.; Tas, K.; 234808; 4971; 279144; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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" and "super-small" smoothness but is not optimal in the intermediate cases. Bernstein's widths behave differently when compared with Kolmogorov in the case of "super-small" smoothness. However, in the case of "super-high" smoothness Kolmogorov and Bernstein widths behave similarly, i.e. are realized by trigonometric polynomials. (C) 2019 Elsevier Inc. All rights reserved.
Citation - Scopus: 2
Ordered Generalized Φ−contraction in Ordered Fuzzy Metric Spaces With an Application in Dynamic Programming
(MUK Publications and Distribution, 2021) Jain, M.; Taş, Kenan; Tomar, A.; Joshi, M.; Tas, K.; 4971; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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 is supported with a suitable example. Further, as an application, the utility of the present work is shown by solving functional equations in dynamic programming, which are beneficial in mathematical optimization as well as computer programming. © 2021, MUK Publications and Distribution. All rights reserved.