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Başlık için Matematik Bölümü Yayın Koleksiyonu listeleme

Başlık için Matematik Bölümü Yayın Koleksiyonu listeleme

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  • Baleanu, Dumitru; Kashuri, Artion; Mohammed, Pshtiwan Othman; Meftah, Badreddine (2021-12)
    Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In this study, authors have established some generalized Raina fractional ...
  • Santra, Shyam Sundar; Arulselvam, Manimaran; Baleanu, Dumitru; Govindan, Vediyappan; Khedher, Khaled Mohamed (2023)
    In this paper, we introduce new types of additive functional equations and obtain the solutions to these additive functional equations. Furthermore, we investigate the Hyers-Ulam stability for the additive functional ...
  • Allahviranloo, Tofigh; Salahshour, S.; Homayoun-nejad, M.; Baleanu, Dumitru (Hindawi LTD, 2013)
    We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each ...
  • El-Deeb, Ahmed A.; Akin, Elvan; Kaymakçalan, Billur (2021-12)
    We prove some new inequalities of Mitrinović–Pečarić inequalities for convex functions on an arbitrary time scale using delta integrals. These inequalities extend and improve some known dynamic inequalities in the literature. ...
  • Karapınar, Erdal; Taş, Kenan (Pergamon-Elsevier Science Ltd, 2011-06)
    In 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 ...
  • Karapınar, Erdal; Taş, Kenan (2011-06)
    In 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 ...
  • Hussain, Sardar Muhammad; Rehman, Aziz Ur; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Abdul Karim, Samsul Ariffin (2020-04)
    The Subdivision Schemes (SSs) have been the heart of Computer Aided Geometric Design (CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are commonly used in CAGD and several methods have ...
  • Karapınar, Erdal; Shahi, Priya; Taş, Kenan (Springer International Publishing, 2014-05-06)
    The aim of this paper is to introduce two classes of generalized alpha-psi-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results ...
  • Zada, Mian Bahadur; Sarwar, Muhammad; Abdeljawad, Thabet; Jarad, Fahd (2020)
    In this work, we introduce various Darbo-type F£-contractions, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F£-expanding mapping and prove fixed point theorems ...
  • Atasever, Nuriye; Kaymakçalan, Billur; Lesaja, Goran; Taş, Kenan (Springer International Publishing, 2012)
    We establish some new dynamic Opial-type diamond alpha inequalities in time scales. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this ...
  • Chanbari, Behzad; Osman, M. S.; Baleanu, Dumitru (World Scientific Publ CO PTE LTD, 2019-06-28)
    In this paper, new analytical obliquely propagating wave solutions for the time fractional extended Zakharov-Kuzetsov (FEZK) equation of conformable derivative are investigated. By using the main properties of the conformable ...
  • Jarad, Fahd; Abdeljawad, Thabet (2020)
    In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the ...
  • Jarad, Fahd; Abdeljawad, Thabet; Alzabut, Jehad (Springer Heidelberg, 2017-12)
    Recently, Anderson and Ulness [Adv. Dyn. Syst. Appl. 10, 109 (2015)] utilized the concept of the proportional derivative controller to modify the conformable derivatives. In parallel to Anderson's work, Caputo and Fabrizio ...
  • Baleanu, Dumitru; Shiri, Babak (2022)
    Well-posedness of the terminal value problem for nonlinear systems of generalized fractional differential equations is studied. The generalized fractional operator is formulated with a classical operator and a related ...
  • Baleanu, Dumitru; Kumar, Dinesh; Purohit, S. D. (Taylor&Francis Ltd, 2016)
    The purpose of this paper is to compute two unified fractional integrals involving the product of two H-functions, a general class of polynomials and Appell function F-3. These integrals are further applied in proving two ...
  • Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard (World Scientific, 2012-04)
    The fundamental description of relaxation (T-1 and T-2) in nuclear magnetic resonance (NMR) is provided by the Bloch equation, an integer-order ordinary differential equation that interrelates precession of magnetization ...
  • Dubey, Ved Prakash; Kumar, Devendra; Alshehri, Hashim M.; Singh, Jagdev; Baleanu, Dumitru (2022-01-01)
    In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using the concept of weak minima. Multiobjective ...
  • Nisar, Kottakkaran Sooppy; Purohit, S. D.; Abouzaid, M. S.; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru (Int Scientific Research Publications, 2016)
    Our purpose in this paper is to consider a more generalized form of the Mittag-Leffler function. For this newly defined function, we obtain certain composition formulas with pathway fractional integral operators. We also ...
  • Bhrawy, A. H.; Hafez, R. M.; Alzahrani, Ebraheem; Baleanu, Dumitru; Alzahrani, A. A. (Editura Academiei Romane, 2015)
    In this article, we develop a numerical approximation for first-order hyperbolic equations on semi-infinite domains by using a spectral collocation scheme. First, we propose the generalized Laguerre-Gauss-Radau collocation ...
  • Ashrafi, Saleh; Golmankhaneh, Ali K.; Baleanu, Dumitru (Editura Academiei Romane, 2017)
    In this manuscript, we extend the F-alpha-calculus by suggesting theorems analogous to the Green's and the Stokes' ones. Utilizing the F-alpha-calculus, the classical multipole moments are generalized to fractal distributions. ...