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Now showing items 1-7 of 7

    • Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces 

      Yantir, A.; Kubiaczyk, I.; Sikorska-Nowak, A. (Open Mathematics, 2015)
      In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose, we introduce ...

    • Existence of solutions to fractional differential inclusions with p-laplacian operator 

      Yantir, A.; Topal, F.S. (Electronic Journal of Differential Equations, 2014)
       In this article, we are prove the existence of solutions for three-point fractional differential inclusions with p-Laplacian operator. We use fixed point theory for set valued upper semi-continuous maps for obtaining the ...

    • Generalized quantum exponential function and its applications 

      Silindir, B.; Yantir, A. (Filomat, 2019)
      This article aims to present (q, h)-analogue of exponential function which unifies, extends h-and q-exponential functions in a convenient and efficient form. For this purpose, we introduce generalized quantum binomial which ...

    • Measure on time scales with Mathematica 

      Ufuktepe, U.; Yantir, A. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2006)
      In this paper we study the Lebesgue Δ-measure on time scales. We refer to [3, 4] for the main notions and facts from the general measure and Lebesgue Δ integral theory. The objective of this paper is to show how the main ...

    • Nonlinear Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces 

      Yantir, A.; Kubiaczyk, I.; Sikorska Nowak, A. (Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013)
      This paper is devoted to prove the existence of solutions of the nonlinear Sturm-Liouville boundary value problem on time scales in Banach spaces. We obtain the sufficient conditions for the existence of solutions in terms ...

    • On continuous dependence of solutions of dynamic equations 

      Cichon M.; Yantir, A. (Applied Mathematics and Computation, 2015)
      The main goal of the paper is to present a new approach to the problem of continuous dependence of solutions of differential or dynamic problems on their domains. This is of particular interests when we use dynamic ...

    • Weak solutions of a hyperbolic-type partial dynamic equation in Banach spaces 

      Yantir, A.; Soyoglu, D. (Hacettepe Journal of Mathematics and Statistics, 2015)
      In this article, we prove an existence theorem regarding the weak solutions to the hyperbolic-type partial dynamic equation (Fourmula presented) in Banach spaces. For this purpose, by generalizing the definitions and results ...