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Browsing Fen - Edebiyat Fakültesi by Publisher "Springer Open"

Now showing items 1-20 of 54

A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation

Baleanu, Dumitru (Springer Open, 2017-09-08)

In this paper, we propose an efficient numerical scheme for the approximate solution of a time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis functions. The time fractional derivative ...
A Gronwall inequality via the generalized proportional fractional derivative with applications

Alzabut, Jehad; Abdeljawad, Thabet; Jarad, Fahd; Sudsutad, Weerawat (Springer Open, 2019-04-11)

In this paper, we provide a new version for the Gronwall inequality in the frame of the generalized proportional fractional derivative. Prior to the main results, we introduce the generalized proportional fractional ...
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 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 numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms

Khalid, Nauman; Abbas, Muhammad; Iqbal, Muhammad Kashif; Baleanu, Dumitru (Springer Open, 2019-09-03)

In this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS) functions for solving time-fractional diffusion wave equation with reaction and damping terms. The ...
A reliable technique for fractional modified Boussinesq and approximate long wave equations

Veeresha, P.; Prakasha, D. G.; Qurashi, M. A.; Baleanu, Dumitru (Springer Open, 2019-06-27)

In this paper, an efficient technique is employed to study the modified Boussinesq and approximate long wave equations of the Caputo fractional time derivative, namely the q-homotopy analysis transform method. These equations ...
An optimal method for approximating the delay differential equations of noninteger order

Baleanu, Dumitru; Agheli, Bahram; Darzi, Rahmat (Springer Open, 2018-08-17)

The main purpose of this paper is to use a method with a free parameter, named the optimal asymptotic homotopy method (OHAM), in order to obtain the solution of delay differential equations, delay partial differential ...
Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations

Shaikh, Amjad; Tassaddiq, Asifa; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (Springer Open, 2019-05-09)

This manuscript deals with fractional differential equations including Caputo-Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established ...
Applying new fixed point theorems on fractional and ordinary differential equations

Karapınar, Erdal; Abdeljawad, Thabet; Jarad, Fahd (Springer Open, 2019-10-03)

In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems ...
Comparative simulations for solutions of fractional Sturm-Liouville problems with non-singular operators

Baleanu, Dumitru (Springer Open, 2018-10-03)

In this study, we consider fractional Sturm-Liouville (S-L) problems within non-singular operators. A fractional S-L problem with exponential and Mittag-Leffler kernels is given with different versions in the Riemann-Liouville ...
Computable solution of fractional kinetic equations using Mathieu-type series

Khan, Owais; Khan, Nabiullah; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy (Springer Open, 2019-06-14)

The Mathieu series appeared in the study of elasticity of solid bodies in the work of Emile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several diverse ways. ...
Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation

Yusuf, Abdullahi; İnç, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru (Springer Open, 2018-09-12)

In this manuscript we investigate the time fractional dispersive long wave equation (DLWE) and its corresponding integer order DLWE. The symmetry properties and reductions are derived. We construct the conservation laws ...
Effects of HIV infection on CD4(+) T-cell population based on a fractional-order model

Arshad, Sadia; Baleanu, Dumitru; Bu, Weiping; Tang, Yifa (Springer Open, 2017-03-29)

In this paper, we study the HIV infection model based on fractional derivative with particular focus on the degree of T-cell depletion that can be caused by viral cytopathicity. The arbitrary order of the fractional ...
Exact Solutions of Two Nonlinear Partial Differential Equations By Using The First Integral Method

Jafari, Hossein; Soltani, Rahmat; Khalique, Chaudry Masood; Baleanu, Dumitru (Springer Open, 2013-05-07)

In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, ...
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations

Ali, Arshad; Shah, Kamal; Jarad, Fahd; Gupta, Vidushi; Abdeljawad, Thabet (Springer Open, 2018-03-08)

In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions ...
Existence and Uniqueness of Solutions For Multi-Term Nonlinear Fractional Integro-Differential Equations

Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram (Springer Open, 2013-12-13)

In this manuscript, by using the fixed point theorems, the existence and the uniqueness of solutions for multi-term nonlinear fractional integro-differential equations are reported. Two examples are presented to illustrate ...
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

Jarad, Fahd; Gambo, Y. Y.; AmeeN, R.; Thabet, Abdeljawad (Springer Open, 2018-04-13)

The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607-2619, 2017). Depending on the ...
Extended cubic B-splines in the numerical solution of time fractional telegraph equation

Akram, Tayyaba; Abbas, Muhammad; İsmail, Ahmad İzani; Ali, Norhashidah Hj M.; Baleanu, Dumitru (Springer Open, 2019-08-28)

A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization of the time ...
Family of odd point non-stationary subdivision schemes and their applications

Ghaffar, Abdul; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (Springer Open, 2019-05-06)

The (2s-1)-point non-stationary binary subdivision schemes (SSs) for curve design are introduced for any integer s2. The Lagrange polynomials are used to construct a new family of schemes that can reproduce polynomials of ...

Now showing items 1-20 of 54

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