Fen - Edebiyat Fakültesi: Recent submissions

  • Generalized (C)-conditions and related fixed point theorems 
    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 ...
  • Generalized fractional derivatives and Laplace transform 
    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 ...
  • General Raina fractional integral inequalities on coordinates of convex functions 
    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 ...
  • Fuzzy-interval inequalities for generalized convex fuzzy-interval-valued functions via fuzzy Riemann integrals 
    Khan, Muhammad Bilal; Srivastava, Hari Mohan; Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Jawa, Taghreed M. (2022)
    The objective of the authors is to introduce the new class of convex fuzzy-interval-valued functions (convex-FIVFs), which is known as p-convex fuzzy-interval-valued functions(p-convex-FIVFs). Some of the basic properties ...
  • Fuzzy type-2 fractional Backstepping blood glucose control based on sliding mode observer 
    Heydarinejad, Hamid; Delavari, Hadi; Baleanu, Dumitru (2019-03-13)
    A new combination of fractional order (FO) nonlinear control and sliding mode observer (SMO) for blood glucose regulation in type 1 diabetes mellitus is proposed in this paper. An observer estimates the difficult-to-measure ...
  • Fuzzy clustering to classify several time series models with fractional Brownian motion errors 
    Mahmoudi, Mohammad Reza; Baleanu, Dumitru; Qasem, Sultan Noman; Mosavi, Amirhosein; S. Band, Shahab (2021-02)
    In real world problems, scientists aim to classify and cluster several time series processes that can be used for a dataset. In this research, for the first time, based on fuzzy clustering method, an approach is applied ...
  • Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries 
    Mahmoudi, Mohammad Reza; Baleanu, Dumitru; Mansor, Zulkefli; Tuan, Bui Anh; Pho, Kim-Hung (2020-11)
    The numbers of confirmed cases of new coronavirus (Covid-19) are increased daily in different countries. To determine the policies and plans, the study of the relations between the distributions of the spread of this virus ...
  • Fusion of smartphone sensor data for classification of daily user activities 
    Şengül, Gökhan; Özçelik, Erol; Misra, Sanjay; Damaševičius, Robertas; Maskeliūnas, Rytis (2021-10)
    New mobile applications need to estimate user activities by using sensor data provided by smart wearable devices and deliver context-aware solutions to users living in smart environments. We propose a novel hybrid data ...
  • Frum-ketkov type multivalued operators 
    Karapınar, Erdal; Petruşel, Adrian; Petruşel, Gabriela (2021)
    Let (M, d) be a metric space, X ⊂ M be a nonempty closed subset and K ⊂ M be a nonempty compact subset. By definition, an upper semi-continuous multivalued operator F: X → P (X) is said to be a strong Frum-Ketkov type ...
  • Fractional-Order Investigation of Diffusion Equations via Analytical Approach 
    Liu, Haobin; Khan, Hassan; Mustafa, Saima; Mou, Lianming; Baleanu, Dumitru (2021-02-23)
    This research article is mainly concerned with the analytical solution of diffusion equations within a Caputo fractional-order derivative. The motivation and novelty behind the present work are the application of a ...
  • Fractional-order dynamical model for electricity markets 
    Dassios, Ioannis; Kërçi, Taulant; Baleanu, Dumitru; Milano, Federico (2021)
    In this article, we use a generalized system of differential equations of fractional-order to incorporate memory into an electricity market model. By using this idea, essential information from the past, such as the behavior ...
  • Fractional differential equations with bio-medical applications 
    Arshad, Sadiaa; Baleanu, Dumitru; Tang, Yifa (2019-01-01)
    In this chapter, we investigate the dynamics of fractional order models in bio-medical. First, we examine the fractional order model of HIV Infection and analyze the stability results for non-infected and infected equilibrium ...
  • Fractional calculus: Models and numerical methods: Second edition 
    Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. (2016-11-01)
    This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the ...
  • Fractional calculus in the sky 
    Baleanu, Dumitru; Agarwal, Ravi P. (2021-12)
    Fractional calculus was born in 1695 on September 30 due to a very deep question raised in a letter of L’Hospital to Leibniz. The prophetical answer of Leibniz to that deep question encapsulated a huge inspiration for all ...
  • Fractional calculus for modeling unconfined groundwater 
    Jafari, Hossein; Mehdinejadiani, Behrouz; Baleanu, Dumitru (2019-01-01)
    The porous medium which groundwater flows in is heterogeneous at all scales. This complicates the simulation of groundwater flow. Fractional derivatives, because of their non-locality property, can reduce the scale effects ...
  • Fractional calculus and the Schrödinger equation 
    Scalas, Enrico; Baleanu, Dumitru; Mainardi, Francescoe; Mura, Antonio (2006)
    In this paper, a derivation of the fractional Schrödinger equation is presented for the simple case of a pure diffusive process with dissipation. The Gaussian white noise is replaced by more general kinds of white noise ...
  • Fractional analysis of dynamical novel COVID-19 by semi-analytical technique 
    Iqbal, S.; Baleanu, Dumitru; Ali, Javaid; Younas, H.M.; Riaz, M.B. (2021)
    This study employs a semi-analytical approach, called Optimal Homotopy Asymptotic Method (OHAM), to analyze a coronavirus (COVID-19) transmission model of fractional order. The proposed method employs Caputo's fractional ...
  • Fractional analogous models in mechanics and gravity theories 
    Baleanu, Dumitru; Vacaru, Sergiu I. (2012-01-01)
    Each chapter should be preceded by an abstract (10-15 lines long) that summarizes the content. The abstract will appear online at www.SpringerLink.com and be available with unrestricted access. This allows unregistered ...
  • Fractional Mayer Neuro-Swarm Heuristic Solver for Multi-Fractional Order Doubly Singular Model Based on Lane-Emden Equation_net 
    Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru (2021-08)
    This research is related to present a novel fractional Mayer neuro-swarming intelligent solver for the numerical treatment of multi-fractional order doubly singular Lane-Emden (LE) equation using combined investigations ...
  • Fractal and multifractional-based predictive optimization model for stroke subtypes’ classification 
    Karaca, Yeliz; Moonis, Majaz; Baleanu, Dumitru (2020-07)
    Numerous natural phenomena display repeating self-similar patterns. Fractal is used when a pattern seems to repeat itself. Fractal and multifractal methods have extensive applications in neurosciences in which the prevalence ...