Taş, Kenan
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Prof. Dr.
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kenan@cankaya.edu.tr
Main Affiliation
Matematik
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Former Staff
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Scholarly Output
79
Articles
150
Citation Count
761
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0
79 results
Scholarly Output Search Results
Now showing 1 - 10 of 79
Article Citation - WoS: 5Citation - Scopus: 6Application of sumudu and double sumudu transforms to caputo-fractional differential equations(Eudoxus Press, Llc, 2012) Jarad, Fahd; Jarad, Fahd; Tas, K.; Taş, Kenan; 4971; MatematikThe 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.Conference Object Citation - WoS: 4Advances on Fixed Point Results on Partial Metric Spaces(Springer international Publishing Ag, 2019) Karapınar, Erdal; Karapinar, Erdal; Tas, Kenan; Taş, Kenan; Rakocevic, Vladimir; 1918; 4971; MatematikArticle Generalized (C)-conditions and related fixed point theorems(Pergamon-Elsevier Science Ltd, 2011) Karapınar, Erdal; Taş, Kenan; 19184; 42699; MatematikIn this manuscript, the notion of C-condition [K. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] is generalized. Some new fixed point theorems are obtained.Article Citation - WoS: 3Citation - Scopus: 3Quadruple fixed point theorems for nonlinear contractions on partial metric spaces(Univ Politecnica Valencia, Editorial Upv, 2014) Karapınar, Erdal; Karapinar, Erdal; Tas, Kenan; Taş, Kenan; 19184; 4971; MatematikThe 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 notion of mixed monotone property. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut [7]. Following this trend, Karapmar[19] defined the quadruple fixed point. In this manuscript, quadruple fixed point is discussed and some new fixed point theorems are obtained on partial metric spaces.Article Citation - WoS: 0Citation - Scopus: 1Dependence Of Eigenvalues Of Some Boundary Value Problems(Tsing Hua Univ, dept Mathematics, 2021) Uğurlu, Ekin; Ugurlu, Ekin; Tas, Kenan; Taş, Kenan; 4971; 238990; MatematikIn this work we deal with a system of two first-order differential equations containing the same eigenvalue parameter. We consider some suitable separated real and complex coupled boundary conditions, and show that the eigenvalues generated by this system are continuous in an eigenvalue branch. Also we introduce the ordinary and Frechet derivatives of these eigenvalues with respect to some elements of the data.Article Citation - WoS: 9Citation - Scopus: 13The convolution of functions and distributions(Academic Press inc Elsevier Science, 2005) Fisher, B; Taş, Kenan; Tas, K; 4971; MatematikThe 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 to 1. It is proved that vertical bar x vertical bar(lambda) * (sgnx vertical bar x vertical bar(mu)) = 2 sin(lambda pi/2)cos(mu pi/2)/sin[(lambda+mu)pi/2] B(lambda+1, mu+1) sgn x vertical bar x vertical bar(lambda+mu+1), for -1 < lambda + mu < 0 and lambda, mu not equal -1, -2,..., where B denotes the Beta function. (c) 2005 Elsevier Inc. All rights reserved.Article Citation - Scopus: 2Ordered 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; MatematikThe 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.Conference Object Citation - WoS: 0Oscillation criteria for second order impulsive delay differential equation(Amer inst Physics, 2004) Taş, Kenan; Alzabut, J; Zafert, A; Baleanu, Dumitru; 56389; 4971; MatematikA 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(i))x'(theta(i)))+b(i)g(x(sigma(theta(i)))) = 0, i is an element of Z, Deltax(theta(i)) = 0. An example is also inserted to illustrate the effect of impulses on the oscillatory behavior of the solutions.Article On the non-commutative neutrix product of the distributions x(+)(-r) ln(p) x(+) and x(+)(mu)ln(q) x(+)(Taylor&Francis LTD, 2006) Taş, Kenan; Taş, Kenan; 4971; MatematikLet f and g be distributions and 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 o g of f and g is defined to be the neutrix limit of the sequence {fg(n) }, provided its limit h exists in the sense that [GRAPHICS] for all functions phi in D. It is proved that (x(+)(-r) ln(p) x(+)) o (x(+)(mu) ln(q) x(+)) = x(+)(-r+mu) ln(p+q) x(+) (x(-)(-r) ln(p) (x)-) o (x(-)(mu) ln(q) x(-)) = x(-)(-r+mu) ln(p+q) x(-) for mu < r - 1;mu not equal 0, +/- 1, +/- 2,..., r = 1,2,..., and p, q = 0, 1, 2,....Article Citation - WoS: 2Citation - Scopus: 1Coupled common fixed point results involving (Φ,Ψ)-contractions in ordered generalized metric spaces with application to integral equations(Springeropen, 2013) Jain, Manish; Taş, Kenan; Tas, Kenan; Gupta, Neetu; 4971; MatematikWe establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying -contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given. MSC: 54H10, 54H25.
