Results 41 to 50 of about 444,557 (182)

Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications

Advances in Difference Equations, 2020
Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 poly-Frobenius–Genocchi polynomials,
Ugur Duran, Mehmet Acikgoz, Serkan Araci
doaj   +1 more source

Solution of Space‐Time Fractional Differential Equations Using Aboodh Transform Iterative Method

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
A relatively new and efficient approach based on a new iterative method and the Aboodh transform called the Aboodh transform iterative method is proposed to solve space‐time fractional differential equations, the fractional order is considered in the Caputo sense.
Michael A. Awuya, Gbenga O. Ojo, Nazim I. Mahmudov, Arzu Akbulut   +3 more
wiley   +1 more source

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this work, we apply the operational matrix based on shifted Legendre polynomials for solving Prabhakar fractional differential equations. The Prabhakar derivative is defined in three‐parameter Mittag‐Leffler function. We achieve this by first deriving the analytical expression for Prabhakar derivative of xp where p is positive integer, via ...
Farah Suraya Md Nasrudin, Chang Phang, Stanislaw Migorski   +2 more
wiley   +1 more source

A Note on Modified Degenerate Changhee-Genocchi Polynomials of the Second Kind

Symmetry, 2023
In this study, we introduce modified degenerate Changhee–Genocchi polynomials of the second kind, and analyze some properties by providing several relations and applications.
W. Khan, M. S. Alatawi
semanticscholar   +1 more source

An Efficient Numerical Scheme for Solving Multiorder Tempered Fractional Differential Equations via Operational Matrix

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is yet to apply in solving fractional differential equations defined in the tempered fractional ...
Abiodun Ezekiel Owoyemi, Chang Phang, Yoke Teng Toh, Arzu Akbulut   +3 more
wiley   +1 more source

Optimal Control of Non-linear Volterra Integral Equations with Weakly Singular Kernels Based on Genocchi Polynomials and Collocation Method

Journal of Nonlinear Mathematical Physics, 2023
We consider a problem of finding the best way to control a system, known as an optimal control problem (OCP), governed by non-linear Volterra Integral Equations with Weakly Singular kernels. The equations are based on Genocchi polynomials.
A. Ebrahimzadeh, E. Hashemizadeh
semanticscholar   +1 more source

Parametric Identification for the Biased Ship Roll Motion Model Using Genocchi Polynomials

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Roll motion is one of the key motions related to a vessel’s dynamic stability. It is essential for the dynamic stability of ships in the realistic sea. For this research study, we have investigated the parameters involved in damping of the ship. In general, mathematical modelling of the rolling response of a ship can be formulated by the linear ...
G. Swaminathan, G. Hariharan, S. A. Mohiuddine, Kandhasamy Tamilvanan, Masho Jima Kabeto, Melike Kaplan   +5 more
wiley   +1 more source

A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]

, 2012
The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim, HM Srivastava, HM Srivastava, IN Cangul, M Acikgoz, Mehmet Açikgöz, S Araci, S Araci, S Araci, S Araci, S Araci, S Araci, S-H Rim, Serkan Araci, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, Y Simsek, Y Simsek   +25 more
core   +2 more sources

Genocchi polynomials as a tool for solving a class of fractional optimal control problems

An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2022
In this research, we use operational matrix based on Genocchi polynomials to obtain approximate solutions for a class of fractional optimal control problems.
H. Tajadodi, H. Jafari, M. N. Ncube
semanticscholar   +1 more source

Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers by using the Mittag–Leffler function and the confluent hypergeometric function.
Nabiullah Khan, Mohd Ghayasuddin, Dojin Kim, Junesang Choi, Clemente Cesarano   +4 more
wiley   +1 more source