by Musthafa Ibrahim, K. R. Karthikeyan
ABSTRACT: To unify and extend the study of various subclasses of starlike and convex functions, here we introduce a new subclass of λ-pseudo starlike symmetric functions. To add more versatility to our...
by R. M. Hafez, Y. H. Youssri, A. G. Atta
ABSTRACT: In this study, we employ a rational Jacobi collocation technique to effectively address linear time-fractional subdiffusion and reaction sub-diffusion equations. The semi-analytic approximation...
by Carolin Hannusch, S. Roland Major
ABSTRACT: In this paper, we introduce and investigate the neighborhood of binary self-dual codes. We prove that there is no better Type I code than the best Type II code of the same length. Further, we give...
by Ahmed Salem, Rawia Babusail, Moustafa El-Shahed, M. Eloasli
ABSTRACT: The purpose of this work is to look at the solution’s representation for the non-homogeneous fractional timedelay Cauchy problem of Hilfer type in terms of the cosine and sine fractional delayed...
by Boubekeur Gasmi, Lama Alhakim, Yazid Mati, Alaaeddin Moussa, Ali Akgül, Rania Wannan, Jihad Asad
ABSTRACT: The purpose of this research is to find analytical solutions to the time-fractional nonlinear Maccari system. The double auxiliary equation method, which has never been used before, is used to...
by Shabnam Jasrotia, Prince Singh
ABSTRACT: In this study, we find approximate series solutions to fractional-order Swift-Hohenberg equations by using the hybrid method, i.e., accelerated homotopy perturbation transformation method (AHPTM)....
by Linan Zhong, Hao Zhao
ABSTRACT: Let p ≥ 11 be an odd prime and q = 2( p − 1). Suppose that n ≥ 1 with n ≠ 5. Let 0 ≤ s < p − 4 and t = s + 2 + t = s + 2 + ( s + 2) p + ( s + 3) p 2 + (s +4) p 3 +...
by Abdullahi Rashid Adem, Anjan Biswas, Yakup Yildirim, Asim Asiri
ABSTRACT: The primary purpose of this paper is to investigate and recover implicit quiescent optical solitons in the context of the dispersive concatenation model in nonlinear optics. Specifically, the...
by Ruhi Fatima, Sabeena Kazi, Asifa Tassaddiq, Nilofer Farhat, Humera Naaz, Sumera Jabeen
ABSTRACT: Mathematics and statistics have a significant impact on the advancement of most trending sciences like machine learning, artificial intelligence, and data science. In this article, we use the...
by Anjan Biswas, José Vega-Guzmán, Yakup Yildirim, Asim Asiri
ABSTRACT: This paper recovers optical solitons to the dispersive concatenation model that is studied with Kerr law of self-phase modulation. The method of undetermined coefficients is the adopted...
by Kiran Dhirawat, Ramakanta Meher
ABSTRACT: This work considers a novel semi-analytical method named the homotopy analysis method (HAM) to study the nonlinear gas dynamic equation. The obtained HAM solution is validated by comparing it with...
by Manpreet Kaur, Sangeet Kumar, Jasdev Bhatti
ABSTRACT: The present paper aims at providing an insight to embedded Runge-Kutta sixth order (RKSD) ordinary differential equation method for solving the initial value problem of order six of type v vi (u)...
by H. M. Ahmed
ABSTRACT: In this paper, new operational matrices (OMs) of ordinary and fractional derivatives (FDs) of a first finite class of classical orthogonal polynomials (FFCOP) are introduced. Also, two algorithms...
by Gurpreet Kaur, Aishwarya Dhara, Arunava Majumder, Balvinder Singh Sandhu, Avinandan Puhan, Manoj Singh Adhikari
ABSTRACT: This paper develops a CRITIC-TOPSIS ''multi-criteria decision-making'' method under a neutrosophic environment. The neutrosophic set is a generalized version of the fuzzy and ''intuitionistic...
by Gayathiri V, Manimaran A
ABSTRACT: Let η be a network graph with vertex and edge sets P(η) and E(η) , respectively. This study aims to find the expected value (obtained during training and testing data) for Artificial Neural...
by S. Dickson, S. Padmasekaran, Pushpendra Kumar
ABSTRACT: In this study, we propose a fractional-order epidemic model of the Omicron variant. We provide analyses of the solutionʼs positivity, boundedness, existence, and uniqueness. The steady-state...
by Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Asim Asiri
ABSTRACT: This study recovers quiescent optical solitons within a complex concatenation model featuring nonlinear chromatic dispersion and differential group delay. It employs the sine-Gordon equation...
by Rasulkhozha S. Sharafiddinov
ABSTRACT: There is no single set in an imaginary space, for which an exact mathematical definition would not exist by the mathematical symmetry laws. We discuss a theory in which appears an imaginary number...
by Eik Den Yeoh, Tinfah Chung, Yuyang Wang
ABSTRACT: The cryptocurrency market, specifically the non-fungible token (NFT) market, has been gaining popularity with the rise of social finance, game finance, metaverse, and web 3.0 technologies. With...
by P Vijaya Laxmi, Hasan A Qrewi, Andwilile A George
ABSTRACT: This paper aims to analyze the steady-state behavior of bulk input general service queue with a second optional service (SOS), balking, and feedback facility. In this study, the server provides...
by Yaé Ulrich Gaba, Collins Amburo Agyingi
ABSTRACT: In this note, we discuss a common fixed point for a family of self-mapping defined on a metric-type space and satisfying a weakly contractive condition. In our development, we make use of the...
by S. Sivasankar, R. Udhayakumar, V. Muthukumaran, S. Al-Omari
ABSTRACT: In this manuscript, we present a collection of suitable requirements for the approximate controllability outcomes of impulsive second-order stochastic neutral differential evolution systems. We...
by Mir Sajjad Hashemi, Mohammad Mirzazadeh, Dumitru Baleanu
ABSTRACT: In this work, a well-known non-homogeneous wave equation with temporal fractional derivative is approximately investigated. A recently defined generalized non-local fractional derivative is...
by Bazar Babajanov, Murod Ruzmetov
ABSTRACT: This work presents an algorithm that uses the inverse scattering method to find a solution for the higher-order Toda lattice with a self-consistent source. The higher-order Toda lattice with an...
by Hemlata Sahu, Ramgopal Kashyap, Surbhi Bhatia, Bhupesh Kumar Dewangan, Nora A. Alkhaldi, Samson Anosh Babu, Senthilkumar Mohan
ABSTRACT: In this paper, artificial intelligence (AI) and the ideas of machine learning (ML) and deep learning (DL) are introduced gradually. Applying ML techniques like deep neural network (DNN) models has...
by Victorien F. Konane, Claude Yaméogo, Wahabo Baguian
ABSTRACT: In this article, we approach a class of problems in probability theory, namely, the asymptotic expansion of probability. We consider an independent, identically distributed, and normalized...
by Puspa Liza Ghazali, Siti Nadhirah Mohamad Fauzi, Rabiatul Adawiyah Abdul Rohim, Roslida Abdul Razak, Juliana Arifin, Eni Noreni Mohamad Zain, Nik Hazimi Mohammed Foziah
ABSTRACT: An important agricultural product exported by Malaysia is swiftlet nests. Due to its high demand many entrepreneurs venture in this industry. Hence with the bioactive ingredients and dietary...
by Ismailkhan Enayathulla Khan, Rajendran Paramasivam
ABSTRACT: In this article, we aim to provide a solution for the Markovian Erlang non-constricted queue that takes into account encouraged arrival, balking feedback strategy, and customer retention, all in a...
by R. Jeyachandhiran, P. Rajendran
ABSTRACT: The efficacy of the Markovian single server symmetric queue is examined in this paper together with the suggested encouraged stationary queue-size analysis. First, we propose the stochastic Markov...
by Lu Tang, Anjan Biswas, Yakup Yildirim, Asim Asiri
ABSTRACT: This paper presents a comprehensive analysis of the concatenation model with power-law nonlinearity. The research encompasses multiple key aspects, providing a detailed exploration of the model's...
by Abdelmajid Belafhal, E. M. El Halba, Talha Usman
ABSTRACT: The principal aim of the present work is to investigate a new class of integral transforms involving the product of Bessel function of the first kind of arbitrary order with generalized Laguerre...
by Lovely Jain, Mansi Kushwaha
ABSTRACT: The aim of this paper is to examine the impact of blood viscosity variation on the flow of blood in a diseased artery having time-dependent stenosis. The viscosity of blood is axial co-ordinate...
by S. Pérez-Díaz, M.A. Fernández de Sevilla, J.R. Magdalena-Benedicto
ABSTRACT: Starting from the concept of infinite branches and approximation surfaces, we present a method to compute infinite branches and surfaces having the same asymptotic behavior as an input parametric...
by Anatolij K. Prykarpatski, Victor A. Bovdi
ABSTRACT: We studied the Lax type integrability of the Calogero-Degasperis nonlinear dynamical system, possessing only one local conserved quantity. Based on the gradientholonomic integrability approach...
by E. Magdy, W. M. Abd-Elhameed, Y. H. Youssri, G. M. Moatimid, A. G. Atta
ABSTRACT: This paper presents a numerical strategy for solving the nonlinear time fractional Burgers's equation (TFBE) to obtain approximate solutions of TFBE. During this procedure, the collocation...
by Myroslava I. Vovk, Petro Ya. Pukach, Volodymyr M. Dilnyi, Anatolij K. Prykarpatski
ABSTRACT: We analyzed the classical problem of decomposing the Hilbert space of holomorphic functions, especially their splitting into the product or sum of domain-separated components. For the Bergman...