• Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients 

  Li, Chenkuan; Saadati, Reza; Allahviranloo, Tofigh (WILEY, 2022)

  Using Babenko's approach, multivariate Mittag-Leffler (MM-L) function, and Krasnoselskii's fixed point theorem, we first investigate the existence of solutions to a Liouville-Caputo nonlinear integro-differential equation ...

• The best approximation of generalized fuzzy numbers based on scaled metric 

  Allahviranloo, Tofigh; Saneifard, Rasoul; Saneifard, Rahim; Kiani, Farzad; Noeiaghdam, Samad; Govindan, Vediyappan (HINDAWI LTD, 2022)

  The ongoing study has been vehemently allocated to propound an ameliorated alpha-weighted generalized approximation of an arbitrary fuzzy number. This method sets out to lessen the distance between the original fuzzy set ...

• Bifurcation and multiplicity of solutions of the navier-stokes equations in driven semi-elliptical cavity flow 

  Erturk, Ercan; Allahviranloo, Tofigh (MDPI, 2022)

  In this paper, bifurcations in the solution of the Navier-Stokes equations are studied and multiple solutions of the driven semi-elliptical cavity flow are presented. The two-dimensional steady incompressible driven viscous ...

• Z+-laplace transforms and Z+-differential equations of the arbitrary-order, theory and applications 

  Ardeshiri Lordejani, Maryam; Afshar Kermani, Mozhdeh; Allahviranloo, Tofigh (Elsevier Inc., 2022)

  This paper provides a framework to study a class of arbitrary-order uncertain differential equations known as arbitrary-order Z+-differential equations. For this purpose, we first present the parametric form of Z+-numbers. ...

• Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces 

  Eidinejad, Zahra; Saadati, Reza; Allahviranloo, Tofigh (SPRINGER HEIDELBERG, 2022)

  In this paper, considering fuzzy measure theory and matrix-valued fuzzy norm spaces, we study a differential system of non-autonomous cellular neural networks with mixed delays (NA-CNN-MD). Our main goal is to investigate ...

• Modified grasshopper optimization algorithm optimized adaptive fuzzy lead-lag controller for coordinated design of FACTS controller with PSS 

  Sahu, Preeti Ranjan; Hota, Prakash Kumar; Panda, Sidhartha; Long, Hoang Viet; Allahviranloo, Tofigh (IOS PRESS, 2022)

  This paper proposes adaptive fuzzy lead-lag controller structures for power system stabilizer and flexible AC transmission system based damping controllers to increase the stability of power system. The parameters of the ...

• Classical and intelligent methods in model extraction and stabilization of a dual-axis reaction wheel pendulum: a comparative study 

  Tavakol Aghaei, Vahid; Akbulut, Batuhan Ekin; Tan, Deniz; Allahviranloo, Tofigh; Fernandez Gamiz, Unai; Noeiaghdam, Samad; Bezci, Yuksel Ediz (Elsevier B.V., 2022)

  Controlling underactuated open-loop unstable systems is challenging. In this study, first, both nonlinear and linear models of a dual-axis reaction wheel pendulum (DA-RWP) are extracted by employing Lagrangian equations ...

• A solving method for two-dimensional homogeneous system of fuzzy fractional differential equations 

  Akram, Muhammad; Muhammad, Ghulam; Allahviranloo, Tofigh; Ali, Ghada (American Institute of Mathematical Sciences, 2022)

  The purpose of this study is to extend and determine the analytical solution of a twodimensional homogeneous system of fuzzy linear fractional differential equations with the Caputo derivative of two independent fractional ...

• An algorithm for choosing a good shape parameter for radial basis functions method with a case study in image processing 

  Ghalichi, Shabnam Sadat Seyed; Amirfakhrian, Majid; Allahviranloo, Tofigh (Elsevier B.V., 2022)

  Some efficient radial basis functions (RBFs) have a free parameter called the shape parameter that controls the shape of approximating function. This parameter is mainly selected by trial and error related to the problem. ...

• Rational Groups whose character degree graphs are disconnected 

  Erkoc, Temha; Akar, Gamze (Academie des Sciences, 2022)

  A finite group all of whose complex character values are rational is called a rational group. In this paper, we classify all rational groups whose character degree graphs are disconnected.

• A variety of closed-form solutions, Painlevé analysis, and solitary wave profiles for modified KdV–Zakharov–Kuznetsov equation in (3+1)-dimensions 

  Nonlaopona, K.; Mann, N.; Kumar, S.; Rezaei, S.; Abdou, M.A. (Elsevier B.V., 2022)

  The major goal of the article is to use the generalized exponential rational function method to seek abundant closed-form solutions and dynamics of solitary wave profiles to the (3+1)-dimensional modified KdV–Zakharov–Kuznetsov ...

• Abundant solitary wave solutions to a perturbed Schrödinger equation with Kerr law nonlinearity via a novel approach 

  Aldhabani, M.S.; Nonlaopon, K.; Rezaei, S.; S.Bayones, F.; Elagan, S.K.; El-Marouf, S.A.A. (Elsevier B.V., 2022)

  The main purpose of the present paper is to introduce a reliable method, for the first time, in solving differential equations with partial derivatives. The significant idea behind this method is the modification of a ...

• The effects of a combination treatment with mesenchymal stem cell and platelet-rich plasma on tendon healing: an experimental study 

  Uyar, İ.; Altuntaş, Z.; Findik, S.; Yildirim, M.E.C.; Yarar, S.; Aktan, M.; Avci, A. (Turkiye Klinikleri, 2022)

  Background/Aim: The objective of this study was to investigate the effects that the application of mesenchymal stem cells (MSCs) and platelet-rich plasma (PRP) following tendon repair have on the strength and healing of ...

• Pyrolytic conversion of automotive bumper polywaste to diesel like fuel and its utilization in compression ignition engine 

  Kiran, S.; Varuvel, E.G. (Elsevier Ltd, 2022)

  In present scenario, alternate fuels for vehicle usage is aimed to satisfy the increasing energy demand significantly caused by fossil fuel depletion and global warming increase around the world. In today's world, plastics ...

• On dynamics of an eco-epidemics system incorporating fractional operators of singular and nonsingular types 

  Rezapour, S.; Rezaei, S.; Khames, A.; Abdelgawad, M.A.; Ghoneim, M.M.; Riaz, M.B. (Elsevier, 2022)

  This paper examines three new definitions of the fractional derivative with singular and non-singular kernels in an eco-epidemics model of predator–prey type. The model describes the situation in which an infectious disease ...

• Some novel approaches to analyze a nonlinear Schrodinger's equation with group velocity dispersion: Plasma bright solitons 

  Rezaei, S.; Rezapour, S.; Alzabut, J.; De Sousa, R.; Alotaibi, B.M.; El-Tantawy, S.A. (Elsevier, 2022)

  Taking two efficient analytical techniques, including the generalized exponential rational function method and the extended sinh–Gordon equation expansion method, into account several optical solutions to a variety of ...

• The exact solutions of the conformable time-fractional modified nonlinear schrodinger equation by the trial equation method and modified trial equation method 

  Aderyani, S.R.; Saadati, R.; Vahidi, J.; Allahviranloo, T. (Hindawi, 2022)

  Using the trial equation method (TEM) and modified trial equation method (MTEM), firstly, we find the analytical solutions of the conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE), and finally, ...

• A new effective approximate multiplication operation on LR fuzzy numbers and its application 

  Ghanbari, M.; Allahviranloo, T.; Nuraei, R.; Pedrycz, W. (Springer Science and Business Media Deutschland, 2022)

  The arithmetic operations on fuzzy numbers are the necessary tools for solving fuzzy equations. Unlike the addition, the procedure of multiplication of two fuzzy numbers is more demanding. In this paper, a new approximate ...

• Introducing a trapezoidal interval type-2 fuzzy regression model 

  Mokhtari, M.; Allahviranloo, T.; Behzadi, M.H.; Lotfi, F.H. (IOS Press, 2022)

  The uncertainty is an important attribute about data that can arise from different sources including randomness and fuzziness, therefore in uncertain environments, especially, in modeling, planning, decision-making, and ...

• Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations 

  Ghaffari, Manizheh; Allahviranloo, Tofigh; Abbasbandy, Saeid; Azhini, Mahdi (SPRINGER, 2022)

  The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized ...

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