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2D gravity and the Hamilton-Jacobi formalism

Baleanu, Dumitru; Güler, Yılmaz (Soc Italiana Fisica, 2002-08)

Hamilton-Jacobi formalism is used to study 2D gravity and its SL(2, R) hidden symmetry. If the contribution of the surface term is considered, the obtained results coincide with those given by the Dirac and Faddeev-Jackiw ...
A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems

Mustafa, Ghulam; Baleanu, Dumitru; Ejaz, Syeda Tehmina; Anju, Kaweeta; Ahmadian, Ali; Salahshour, Soheil; Ferrara, Massimiliano (2020)

In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C 2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative ...
A Bayesian Approach to Heavy-Tailed Finite Mixture Autoregressive Models

Mahmoudi, Mohammad Reza; Maleki, Mohsen; Baleanu, Dumitru; Nguye, Vu-Thanh; Pho, Kim-Hung (2020-06)

In this paper, a Bayesian analysis of finite mixture autoregressive (MAR) models based on the assumption of scale mixtures of skew-normal (SMSN) innovations (called SMSN-MAR) is considered. This model is not simultaneously ...
A Brief Overview and Survey of the Scientific Work by Feng Qi

Agarwal, Ravi Prakash; Karapinar, Erdal; Kostić, Marko; Cao, Jian; Du, Wei-Shih (2022-08)

In the paper, the authors present a brief overview and survey of the scientific work by Chinese mathematician Feng Qi and his coauthors.
A caputo fractional order boundary value problem with integral boundary conditions

Babakhani, Azizollah; Abdeljawad, Thabet (Eudoxus Press, 2013-05)

In this paper, we discuss existence and uniqueness of solutions to nonlinear fractional order ordinary differential equations with integral boundary conditions in an ordered Banach space. We use the Caputo fractional ...
A Caputo-Fabrizio Fractional-Order Cholera Model And İts Sensitivity Analysis

Ahmed, Idris; Akgül, Ali; Jarad, Fahd; Kumam, Poom; Nonlaopon, Kamsing (2023-06-30)

In recent years, the availability of advanced computational techniques has led to a growing emphasis on fractional-order derivatives. This development has enabled researchers to explore the intricate dynamics of various ...
A central difference numerical scheme for fractional optimal control problems

Baleanu, Dumitru; Defterli, Özlem; Agrawal, Om. P. (Sage Publications LTD, 2009-04)

This paper presents a modified numerical scheme for a class of fractional optimal control problems where a fractional derivative (FD) is defined in the Riemann-Liouville sense. In this scheme, the entire time domain is ...
A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

Baleanu, Dumitru; Shiri, B.; Srivastava, H. M.; Al Qurashi, Maysaa Mohamed (Pushpa Publishing House, 2018-10-04)

In this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the Chebyshev polynomials as a base and obtain ...
A chebyshev-laguerre-gauss-radau collocation scheme for solving a time fractional sub-diffusion equation on a semi-infinite domain

Bhrawy, A. H.; Abdelkawy, M. A.; Alzahrani, A. A.; Baleanu, Dumitru; Alzahrani, Ebraheem (The Publishing House of the Romanian Academy, 2015)

We propose a new efficient spectral collocation method for solving a time fractional sub-diffusion equation on a semi-infinite domain. The shifted Chebyshev-Gauss-Radau interpolation method is adapted for time discretization ...
A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates

Baleanu, Dumitru; Krnic, Mario; Vukovic, Predrag (2021-05-15)

We present a class of higher dimensional Hilbert-type inequalities on a fractal set (Double-struck capital R+alpha n)k. The crucial step in establishing our results are higher dimensional spherical coordinates on a fractal ...
A Class of Refinement Schemes With Two Shape Control Parameters

Mustafa, Ghulam; Hameed, Rabia; Baleanu, Dumitru; Mahmood, Ayesha (2020)

A subdivision scheme defines a smooth curve or surface as the limit of a sequence of successive refinements of given polygon or mesh. These schemes take polygons or meshes as inputs and produce smooth curves or surfaces ...
A class of time-fractional Dirac type operators

Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan (2021-02)

By using a Witt basis, a new class of time-fractional Dirac type operators with time-variable coefficients is introduced. These operators lead to considering a wide range of fractional Cauchy problems. Solutions of the ...
A close look at Newton–Cotes integration rules

Sermutlu, Emre (2019)

Newton–Cotes integration rules are the simplest methods in numerical integration. The main advantage of using these rules in quadrature software is ease of programming. In practice, only the lower orders are implemented ...
A common fixed point theorem of a Gregus type on convex cone metric spaces

Abdeljawad, Thabet; Karapınar, Erdal (Eudoxus Press, 2011-05)

The result of Ciric [1] on a common fixed point theorem of Gregus-type on metric spaces is extended to the class of cone metric spaces. Namely, a common fixed point theorem is proved in s-convex cone metric spaces under ...
A common fixed point theorem of a Greguš type on convex cone metric spaces

Abdeljawad, Thabet; Karapinar, Erdal (2011)

The result of Ćirić [1] on a common fixed point theorem of Greguš type on metric spaces is extended to the class of cone metric spaces. Namely, a common fixed point theorem is proved in s-convex cone metric spaces under ...
A comparative study of silicon nitride and SiAlON ceramics against E. coli

Akın, Şeniz R. Kuşhan; Garcia, Caterina Bartomeu; Webster, Thomas J. (2021-01-20)

In recent decades, due to some limitations from alumina (Al2O3) and zirconia (ZrO2), silicon nitride (Si3N4) has been investigated as a novel bioceramic material, mainly in situations where a bone replacement is ...
A comparative study on biodegradation and mechanical properties of pressureless infiltrated Ti/Ti6Al4V-Mg composites

Esen, Ziya; Bütev, Ezgi; Karakaş, Mustafa Serdar (Elsevier Science BV, 2016-10)

The mechanical response and biodegradation behavior of pressureless Mg-infiltrated Ti-Mg and Ti6Al4V-Mg composites were investigated by compression and simulated body fluid immersion tests, respectively. Prior porous ...
A Composition Formula of the Pathway Integral Transform Operator

Baleanu, Dumitru; Agarwal, Ravi P. (University of Salento, 2014)

In the present paper, we aim at presenting composition formula of integral transform operator due to Nair, which is expressed in terms of the generalized Wright hypergeometric function, by inserting the generalized Bessel ...
A comprehensive analysis of the stochastic fractal–fractional tuberculosis model via Mittag-Leffler kernel and white noise

Rashid, Saima; Iqbal, Muhammad Kashif; Alshehri, Ahmed M.; Ashraf, Rehana; Jarad, Fahd (2022-08)

In this research, we develop a stochastic framework for analysing tuberculosis (TB) evolution that includes newborn immunization via the fractal–fractional (F–F) derivative in the Atangana–Baleanu sense. The population is ...
A Computational Approach Based On The Fractional Euler Functions And Chebyshev Cardinal Functions For Distributed-Order Time Fractional 2D Diffusion Equation

Heydari, M. H.; Hosseininia, M.; Baleanu, D. (Alexandrıa Engineering Journal, 2023-03-15)

In this paper, the distributed-order time fractional diffusion equation is introduced and studied. The Caputo fractional derivative is utilized to define this distributed-order fractional derivative. A hybrid approach based ...

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