Results 31 to 40 of about 1,314 (145)

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

Unification of Two‐Variable Family of Apostol‐Type Polynomials with Applications

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, the two‐variable unified family of generalized Apostol‐type polynomials is introduced, and some implicit forms and general symmetry identities are derived. Also, we obtain new degenerate Apostol‐type numbers and polynomials constructed from the new 2‐variable unified family.
Beih S. El-Desouky, Rabab S. Gomaa, Alia M. Magar, Barbara Martinucci   +3 more
wiley   +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

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

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

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

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

Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials

Mathematics, 2022
One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
doaj   +1 more source

A Computational Model for q‐Bernstein Quasi‐Minimal Bézier Surface

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
A computational model is presented to find the q‐Bernstein quasi‐minimal Bézier surfaces as the extremal of Dirichlet functional, and the Bézier surfaces are used quite frequently in the literature of computer science for computer graphics and the related disciplines.
Daud Ahmad, M. Khalid Mahmood, Qin Xin, Ferdous M. O. Tawfiq, Sadia Bashir, Arsha Khalid, Muhammad Kamran Jamil   +6 more
wiley   +1 more source