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Başlık için Matematik Bölümü listeleme

Başlık için Matematik Bölümü listeleme

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  • New applications of fractional variational principles 
    Baleanu, Dumitru (Pergamon-Elsevier Science Ltd, 2008-04)
    In this paper the fractional variational principles of constrained systems involving Riesz derivatives are discussed and one example is analyzed in detail. The fractional Euler-Lagrange equations of two fractional Lagrangians ...
  • New Applications of the Variational Iteration Method - From Differential Equations To Q-Fractional Difference Equations 
    Wu, Guo-Cheng; Baleanu, Dumitru (Springer Open, 2013)
    The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared. This study mainly ...
  • New applications related to Covid-19 
    Akgül, Ali; Ahmed, Nauman; Raza, Ali; Iqbal, Zafar; Rafiq, Muhammad; Baleanu, Dumitru; Rehman, Muhammad Aziz-ur (2021-01)
    Analysis of mathematical models projected for COVID-19 presents in many valuable outputs. We analyze a model of differential equation related to Covid-19 in this paper. We use fractal-fractional derivatives in the proposed ...
  • New applications related to hepatitis C model 
    Ahmed, Nauman; Raza, Ali; Akgül, Ali; Iqbal, Zafar; Rafiq, Muhammad; Ahmad, Muhammad Ozair; Jarad, Fahd (2022)
    The main idea of this study is to examine the dynamics of the viral disease, hepatitis C. To this end, the steady states of the hepatitis C virus model are described to investigate the local as well as global stability. ...
  • New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space H-0(2) 
    İnç, Mustafa; Korpınar, Talat; Korpınar, Zeliha; Baleanu, Dumitru; Cem Demirkol, Rıdvan (2021-09)
    In this paper, a new evolution of polarized light ray by optical fiber in the pseudohyperbolic space H-0(2) is examined. Firstly, the characterization of the parallel transportation law associated with the geometric ...
  • New approach for simultaneous spectral analysis of a complex mixture using the fractional wavelet transform 
    Dinç, Erdal; Demirkaya, Fatma; Baleanu, Dumitru; Kadıoğlu, Yücel; Kadıoğlu, Ekrem (Elsevier Science, 2010-04)
    Fractional wavelet transform (FWT) is a powerful toot in order to extract largest analytical information from the spectral bands. For the above reason, the combined applications of fractional wavelet transform with principal ...
  • New approach on controllability of Hilfer fractional derivatives with nondense domain 
    Nisar, Kottakkaran Sooppy; Jothimani, Kasthurisamy; Ravichandran, Chokkalingam; Baleanu, Dumitru; Kumar, Devendra (2022)
    This work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Mönch theorem and Banach contraction ...
  • New approximate analytical technique for the solution of time fractional fluid flow models 
    Farooq, Umar; Khan, Hassan; Tchier, Fairouz; Hınçal, Evren; Baleanu, Dumitru; Bin Jebreen, Haifa (2021-12)
    In this note, we broaden the utilization of an efficient computational scheme called the approximate analytical method to obtain the solutions of fractional-order Navier–Stokes model. The approximate analytical solution ...
  • New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order 
    Moaaz, Osama; Baleanu, Dumitru; Muhib, Ali (2020-04)
    Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of ...
  • New aspects in killing tensors of rank two 
    Crasmareanu, Mircea; Baleanu, Dumitru (Editura Acad Romane, 2009)
    First integrals quadratic in moments corresponding to the natural Lagrangian systems are discussed with a special view towards the two-dimensional case. Since these first integrals are provided by Killing tensors of rank ...
  • New Aspects of Fractional Biswas-Milovic Model With Mittag-Leffler Law 
    Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru (EDP Sciences S A, 2019)
    This article deals with a fractional extension of Biswas-Milovic (BM) model having Kerr and parabolic law nonlinearities. The BM model plays a key role in describing the long-distance optical communications. The fractional ...
  • New aspects of fractional Bloch model associated with composite fractional derivative 
    Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru (2021)
    This paper studies a fractional Bloch equation pertaining to Hilfer fractional operator. Bloch equation is broadly applied in physics, chemistry, nuclear magnetic resonance (NMR), magnetic resonance imaging (MRI) and many ...
  • New Aspects of Immunogenic Tumors Within Different Fractional Operators 
    Ullah, Malik Zaka; Al-Aidarous, Eman S.; Baleanu, Dumitru (ASME, 2019-04)
    This paper presents a new mathematical formulation in fractional sense describing the asymptotic behavior of immunogenic tumor growth. The new model is investigated through different fractional operators with and without ...
  • New aspects of irregular constrained systems 
    Baleanu, Dumitru (Inst Physics Acad Sci Czech Republic, 2005-11)
    The irregular constrained systems are investigated within Hamilton-Jacobi formalism. For this type of systems the equivalence of Hamilton-Jacobi formalism and Lagrangian formulation is presented and one example is analyzed ...
  • New aspects of Opial-type integral inequalities 
    Başçı, Yasemin; Baleanu, Dumitru (Springer Open, 2018-12-06)
    In this manuscript, we prove new aspects for several Opial-type integral inequalities for the left and right Caputo-Fabrizio operators with nonsingular kernel. For this purpose we use the inequalities obtained by Andri et ...
  • New aspects of poor nutrition in the life cycle within the fractional calculus 
    Baleanu, Dumitru; Jajarmi, Amin; Bonyah, Ebenezer; Hajipour, Mojtaba (Springer Open, 2018-07-03)
    The nutrition of pregnant women is crucial for giving birth to a healthy baby and even for the health status of a nursing mother. In this paper, the poor nutrition in the life cycle of humans is explored in the fractional ...
  • New aspects of the adaptive synchronization and hyperchaos suppression of a financial model 
    Jajarmi, Amin; Hajipour, Mojtaba; Baleanu, Dumitru (Pergamon-Elsevier Science, 2017)
    This paper mainly focuses on the analysis of a hyperchaotic financial system as well as its chaos control and synchronization. The phase diagrams of the above system are plotted and its dynamical behaviours like equilibrium ...
  • New Aspects of the Motion of A Particle In A Circular Cavity 
    Baleanu, Dumitru; Asad, Jihad H.; Jajarmi, Amin (Editura Academiei Romane, 2018-04)
    In this work, we consider the free motion of a particle in a circular cavity. For this model, we obtain the classical and fractional Lagrangian as well as the fractional Hamilton's equations (FHEs) of motion. The fractional ...
  • New aspects of time fractional optimal control problems within operators with nonsingular kernel 
    Yildiz, Tugba Akman; Jajarmi, Amin; Yildiz, Burak; Baleanu, Dumitru (2020-03)
    This paper deals with a new formulation of time fractional optimal control problems governed by Caputo-Fabrizio (CF) fractional derivative. The optimality system for this problem is derived, which contains the forward and ...
  • New Aspects of ZZ Transform to Fractional Operators With Mittag-Leffler Kernel 
    Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Alqurashi, Maysaa M. (2020-09-23)
    In this paper, we discuss the relationship between the Zain Ul Abadin Zafar (ZZ) transform with Laplace and Aboodh transforms. Further, the ZZ transform is applied to the fractional derivative with the Mittag-Leffler kernel ...