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Toplam kayıt 27, listelenen: 1-20

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A geometric approach for solving the density-dependent diffusion Nagumo equation

Hashemi, Mir Sajjad; Darvishi, Elham; Baleanu, Dumitru (Springer International Publishing, 2016-03-31)

In this paper, some solutions of the density-dependent diffusion Nagumo equation are obtained by using a new approach, the Lie symmetry group-preserving scheme (LSGPS). The effects of various model parameters on the solution ...
A new transform method in nabla discrete fractional calculus

Jarad, Fahd; Kaymakçalan, Billur; Taş, Kenan (Springer International Publishing, 2012)

Starting from the definition of the Sumudu transform on a general nabla time scale, we define the generalized nabla discrete Sumudu transform. We obtain the nabla discrete Sumudu transform of Taylor monomials, fractional ...
An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

Doha, Eid H.; Bhrawy, Ali H.; Baleanu, Dumitru; Ezz-Eldien, Samer S.; Hafez, R. M. (Springer International Publishing, 2015-01-30)

In this article, we introduce a numerical technique for solving a general form of the fractional optimal control problem. Fractional derivatives are described in the Caputo sense. Using the properties of the shifted Jacobi ...
An original coupled coincidence point result for a pair of mappings without MMP

Chandok, Sumit; Taş, Kenan (Springer International Publishing, 2014-02-10)

The purpose of this paper is to establish a coupled coincidence point theorem for a pair of mappings without MMP (mixed monotone property) in metric spaces endowed with partial order, which is not an immediate consequence ...
Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions

Khalil, Hammad; Khan, Rahmat Ali; Baleanu, Dumitru; Saker, Samir H. (Springer International Publishing, 2016-07-07)

This paper investigates a computational method to find an approximation to the solution of fractional differential equations subject to local and nonlocal m-point boundary conditions. The method that we will employ is a ...
Banach contraction principle for cyclical mappings on partial metric spaces

Abdeljawad, Thabet; Alzabut, Jehad; Mukheimer, A.; Zaidan, Y. (Springer International Publishing, 2012-09-18)

We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (Ilic et al. in ...
Certain Inequalities Via Generalized Proportional Hadamard Fractional Integral Operators

Rahman, Gauhar; Abdeljawad, Thabet; Jarad, Fahd; Khan, Aftab; Nisar, Kottakkaran Sooppy (Springer International Publishing, 2019-12-01)

In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. The given results ...
Computation of Iterative Solutions Along With Stability Analysis to A Coupled System of Fractional Order Differential Equations

Ali, Sajjad; Abdeljawad, Thabet; Shah, Kamal; Fahd Jarad; Arif, Muhammad (Springer International Publishing, 2019-12-01)

In this research article, we investigate sufficient results for the existence, uniqueness and stability analysis of iterative solutions to a coupled system of the nonlinear fractional differential equations (FDEs) with ...
Coupled common fixed point results involving a (phi,psi)-contractive condition for mixed g-monotone operators in partially ordered metric spaces

Jain, Manish; Taş, Kenan; Kumar, Sanjay; Gupta, Neetu (Springer International Publishing, 2012)

In the setting of partially ordered metric spaces, using the notion of compatible mappings, we establish the existence and uniqueness of coupled common fixed points involving a (phi,psi)-contractive condition for mixed ...
Discrete Gruss type inequality on fractional calculus

Akın, Elvan; Aslıyüce, Serkan; Güvenilir, Ayşe Feza; Kaymakçalan, Billur (Springer International Publishing, 2015-06-02)

We give a discrete Gruss type inequality on fractional calculus
Employing of some basic theory for class of fractional differential equations

Babakhani, Azizollah; Baleanu, Dumitru (Springer International Publishing, 2011)

Basic theory on a class of initial value problem of some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical approach from the work of Lakshmikantham ...
Existence criterion for the solutions of fractional order p-Laplacian boundary value problems

Jafari, Hossein; Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat Ali; Khan, Aziz (Springer International Publishing, 2015-09-17)

The existence criterion has been extensively studied for different classes in fractional differential equations (FDEs) through different mathematical methods. The class of fractional order boundary value problems (FOBVPs) ...
Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel

Gomez-Aguilar, J. F.; Torres, L.; Yepez-Martinez, H.; Baleanu, Dumitru; Reyes, J. M.; Sosa, I. O. (Springer International Publishing, 2016-07-01)

This paper presents the procedure to obtain analytical solutions of Li,nard type model of a fluid transmission line represented by the Caputo-Fabrizio fractional operator. For such a model, we derive a new approximated ...
Fractional odd-dimensional mechanics

Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Baleanu, Mihaela Cristina (Springer International Publishing, 2011)

The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is based on ...
Fractional-order variational calculus with generalized boundary conditions

Herzallah, Mohamed A. E.; Baleanu, Dumitru (Springer International Publishing, 2011)

This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville ...
Generalized alpha-psi-contractive type mappings of integral type and related fixed point theorems

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 ...
Generalized diamond-alpha dynamic opial inequalities

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 ...
Nabla discrete fractional Gruss type inequality

Güvenilir, Ayşe Feza; Kaymakçalan, Billur; Peterson, Allan C.; Taş, Kenan (Springer International Publishing, 2014-02-20)

Properties of the discrete fractional calculus in the sense of a backward difference are introduced and developed. Here, we prove a more general version of the Gruss type inequality for the nabla fractional case. An example ...
Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique

Akgül, Ali; İnç, Mustafa; Karataş, Esra; Baleanu, Dumitru (Springer International Publishing, 2015-07-16)

In this work, we study the fractional order Lane-Emden differential equations by using the reproducing kernel method. The exact solution is shown in the form of a series in the reproducing kernel Hilbert space. Some numerical ...
On coupled fixed point theorems on partially ordered G-metric spaces

Karapınar, Erdal; Kaymakçalan, Billur; Taş, Kenan (Springer International Publishing, 2012)

In this manuscript, we extend, generalize and enrich some recent coupled fixed point theorems in the framework of partially ordered G-metric spaces in a way that is essentially more natural.

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