Operational matrix for Atangana–Baleanu derivative based on Genocchi polynomials for solving FDEs
Abstract Recently, Atangana and Baleanu have defined a new fractional derivative which
has a nonlocal and non-singular kernel. It is called the Atangana–Baleanu derivative. In this …
has a nonlocal and non-singular kernel. It is called the Atangana–Baleanu derivative. In this …
[HTML][HTML] An application of Genocchi wavelets for solving the fractional Rosenau-Hyman equation☆
In this research, Genocchi wavelets method, a quite new type of wavelet-like basis, is
adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman …
adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman …
[HTML][HTML] A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
The aim of this paper is to introduce and investigate several new identities related to a
unification and generalization of the three families of generalized Apostol type polynomials …
unification and generalization of the three families of generalized Apostol type polynomials …
Fractional order Volterra integro-differential equation with Mittag-Leffler kernel
In literature, the integro-differential equations (IDEs) are very much common in the
engineering as well in the scientific fields for modeling of dynamical problems. There is a …
engineering as well in the scientific fields for modeling of dynamical problems. There is a …
[HTML][HTML] New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials
A Isah, C Phang - Journal of King Saud University-Science, 2019 - Elsevier
In this research, new operational method based on Genocchi polynomials for numerical
solutions of non-linear fractional differential equations (NFDEs) is proposed. The Genocchi …
solutions of non-linear fractional differential equations (NFDEs) is proposed. The Genocchi …
Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler
polynomials from the orthogonality of Hermite polynomials. Finally, we give some interesting …
polynomials from the orthogonality of Hermite polynomials. Finally, we give some interesting …
[PDF][PDF] Some identities of degenerate Genocchi polynomials
D Lim - Bull. Korean Math. Soc, 2016 - researchgate.net
L. Carlitz introduced higher order degenerate Euler polynomials in [4, 5] and studied a
degenerate Staudt-Clausen theorem in [4]. DS Kim and T. Kim gave some formulas and …
degenerate Staudt-Clausen theorem in [4]. DS Kim and T. Kim gave some formulas and …
Umbral calculus and Sheffer sequences of polynomials
Umbral calculus and Sheffer sequences of polynomials | Journal of Mathematical Physics |
AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers …
AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers …
Some identities for Bernoulli numbers of the second kind arising from a non-linear differential equation
SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A
NON-LINEAR DIFFERENTIAL EQUATION 1. Introduction For r Page 1 Bull. Korean Math. Soc …
NON-LINEAR DIFFERENTIAL EQUATION 1. Introduction For r Page 1 Bull. Korean Math. Soc …