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Browsing Fen - Edebiyat Fakültesi by Author "eda6c283-53f4-489c-81e8-ff495456abdd"

Now showing items 1-20 of 172

A Computationally Efficient Method For a Class of Fractional Variational and Optimal Control Problems Using Fractional Gegenbauer Functions

El-Kalaawy, Ahmed A.; Doha, Eid H.; Ezz-Eldien, Samer S.; Abdelkawy, M. A.; Hafez, R. M.; Amin, A. Z. M.; Baleanu, Dumitru; Zaky, M. A. (Editura Academiei Romane, 2018)

This paper is devoted to investigate, from the numerical point of view, fractional-order Gegenbauer functions to solve fractional variational problems and fractional optimal control problems. We first introduce an orthonormal ...
A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations

Amin, Muhammad; Abbas, Muhammad; Iqbal, Muhammad Kashif; Ismail, Ahmad Izani Md.; Baleanu, Dumitru (Springer, 2019-12-01)

The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivative, while ...
A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives

Aliyu, Aliyu Isa; İnç, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru (Pergamon-Elsevier Science LTD, 2018-11)

The model of transmission dynamics of vector-borne diseases with vertical transmission and cure within a targeted population is extended to the concept of fractional differentiation and integration with non-local and ...
A Jacobi Operational Matrix for Solving A Fuzzy Linear Fractional Differential Equation

Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru (Springer International Publishing AG, 2013)

This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order . A suitable representation of the fuzzy solution via ...
A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures

Rahimi, Zaher; Sumelka, Wojciech; Baleanu, Dumitru (ASME, 2019-06)

In the present work, a nonlocal model based on the conformal strain energy, utilizing the conformable derivative definition, has been obtained. The model has two additional free parameters compared to the classical (local) ...
A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence

Jajarmi, Amin; Ghanbari, Behzad; Baleanu, Dumitru (Amer Inst Physics, 2019-09)

The main objective of this research is to investigate a new fractional mathematical model involving a nonsingular derivative operator to discuss the clinical implications of diabetes and tuberculosis coexistence. The new ...
A New Approach for Solving Multi Variable Orders Differential Equations With Mittag–Leffler Kernel

Ganji, R. M.; Jafari, H.; Baleanu, Dumitru (Chaos, Solitons and Fractals, 2020-01)

In this paper we consider multi variable orders differential equations (MVODEs) with non-local and no-singular kernel. The derivative is described in Atangana and Baleanu sense of variable order. We use the fifth-kind ...
A new class of 2m-point binary non-stationary subdivision schemes

Ghaffar, Abdul; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Al-Qurashi, Maysaa M.; Baleanu, Dumitru (Springer Open, 2019-08-07)

A new class of 2m-point non-stationary subdivision schemes (SSs) is presented, including some of their important properties, such as continuity, curvature, torsion monotonicity, and convexity preservation. The multivariate ...
A New Class of 2Q-Point Nonstationary Subdivision Schemes and Their Applications

Ghaffar, Abdul; Bari, Mehwish; Ullah, Zafar; Iqbal, Mudassar; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (MDPI AG, 2019-07-01)

The main objective of this study is to introduce a new class of 2q-point approximating nonstationary subdivision schemes (ANSSs) by applying Lagrange-like interpolant. The theory of asymptotic equivalence is applied to ...
A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws

Kumar, Devendra; Singh, Jagdev; Tanwar, Kumud; Baleanu, Dumitru (Pergamon-Elsevier Science LTD, 2019-08)

The present article deals with the exothermic reactions model having constant heat source in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana-Baleanu fractional operators are used to ...
A new fractional model for giving up smoking dynamics

Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru (Springer Open, 2017-03-23)

The key purpose of the present work is to examine a fractional giving up smoking model pertaining to a new fractional derivative with non-singular kernel. The numerical simulations are conducted with the aid of an iterative ...
A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying

Kumar, Devendra; Singh, Jagdev; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru (Springer Open, 2019-07-20)

The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. The SIRS-SI malaria model is modified by using the Caputo-Fabrizio fractional operator for the inclusion of memory. ...
A New Glance On the Leibniz Rule for Fractional Derivatives

Sayevand, K.; Machado, J. A. Tenreiro; Baleanu, Dumitru (Elsevier Science BV, 2018-09)

This paper proposes a new strategy to study some useful properties of growth rates of functions in C-alpha is an element of R spaces in order to analyze the Leibniz rule for fractional derivatives. The differential operators ...
A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions

Wang, Guotao; Liu, Sanyang; Zhang, Lihong; Baleanu, Dumitru (Hindawi LTD, 2014)

A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed ...
A New Iterative Technique for A Fractional Model of Nonlinear Zakharov-Kuznetsov Equations Via Sumudu Transform

Prakash, Amit; Kumar, Manoj; Baleanu, Dumitru (Elsevier Science INC, 2018-10)

The main objective of this paper is to suggest a new computational technique namely new iterative Sumudu transform method (NISTM) to solve numerically nonlinear time-fractional Zakharov-Kuznetsov (FZK) equation in two ...
A new numerical technique for local fractional diffusion equation in fractal heat transfer

Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Gao, Feng (Int Scientific Research Publications, 2016)

In this paper, a new numerical approach, embedding the differential transform (DT) and Laplace transform (LT), is firstly proposed. It is considered in the local fractional derivative operator for obtaining the non-differential ...
A New Stochastic Computing Paradigm for Nonlinear Painleve II Systems in Applications of Random Matrix Theory

Raja, Muhammad Asif Zahoor; Shah, Zahoor; Manzar, Muhammad Anwaar; Ahmad, Iftikhar; Awais, Muhammad; Baleanu, Dumitru (Springer Heidelberg, 2018-07-10)

The aim of the present work is to investigate the stochastic numerical solutions of nonlinear Painleve II systems arising from studies of two-dimensional Yang-Mills theory, growth processes through fluctuation formulas in ...
A New Stochastic Computing Paradigm for the Dynamics of Nonlinear Singular Heat Conduction Model of the Human Head

Raja, Muhammad Asif Zahoor; Umar, Muhammad; Sabir, Zulqurnain; Khan, Junaid Ali; Baleanu, Dumitru (Springer Heidelberg, 2018-09-13)

Bio-inspired computing approaches are effective to solve a variety of dynamical problems. The strength of these stochastic solvers is exploited for the numerical treatment of a nonlinear heat conduction model of the human ...
A Note On (P, Q)-Analogue Type of Fubini Numbers and Polynomials

Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (American Institute of Mathematical Sciences, 2020)

In this paper, we introduce a new class of (p, q)-analogue type of Fubini numbers and polynomials and investigate some properties of these polynomials. We establish summation formulas of these polynomials by summation ...
A Novel Algorithm Based On the Legendre Wavelets Spectral Technique for Solving the Lane–Emden Equations

Karimi Dizicheh, A.; Salahshour, S.; Ahmadian, Ali; Baleanu, Dumitru (Elsevier B.V., 2020-07)

In this research, we present an iterative spectral method for the approximate solution of a class of Lane–Emden equations. In this procedure, we initially extend the Legendre wavelet which is appropriate for any time ...

Now showing items 1-20 of 172

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Browsing Fen - Edebiyat Fakültesi by Author "eda6c283-53f4-489c-81e8-ff495456abdd"

Browsing Fen - Edebiyat Fakültesi by Author "eda6c283-53f4-489c-81e8-ff495456abdd"

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