[PDF][PDF] Numerical solutions of two-dimensional mixed Volterra-Fredholm integral equations via Bernoulli collocation method

RM Hafez, EH Doha, AH Bhrawy, D Baleanu - Rom. J. Phys, 2017 - researchgate.net
The mixed Volterra-Fredholm integral equations (VFIEs) arise in various physical and
biological models. The main purpose of this article is to propose and analyze efficient …

[PDF][PDF] Apostol Type -Bernoulli, -Euler and -Genocchi Polynomials and Numbers

U Duran, M Acikgoz - Communications in Mathematics and …, 2017 - researchgate.net
The main subject of this work is to introduce and investigate a new generalizations of the
Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials under the theory of post …

Apostol type (P, Q)-Frobenius-euler polynomials and numbers

U Duran, M Acikgoz - 2017 - preprints.org
In the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler
polynomials and numbers and investigate some basic identities and properties for these …

A new class of polynomial functions equipped with a parameter

S Abbasbandy - Mathematical Sciences, 2017 - Springer
In this study, a new class of polynomial functions although equipped with a parameter is
introduced. This class can be employed for computational solution of linear or non-linear …

Some results on q-Hermite based hybrid polynomials

M Riyasat, S Khan - Glasnik matematički, 2018 - hrcak.srce.hr
Sažetak In this article, a hybrid class of the q-Hermite based Apostol type Frobenius-Euler
polynomials is introduced by means of generating function and series representation …

Notes on unified q-Apostol-type polynomials

B Kurt - Filomat, 2016 - JSTOR
Recently, many mathematicians (Karande and Thakare [6], Ozarslan [14], Ozden et. al.[15],
El-Deouky et. al.[5]) have studied the unification of Bernoulli, Euler and Genocchi …

Optimal solution of a fractional epidemic model of COVID-19.

H Hassani, P Agarwal, Z Avazzadeh… - Nonlinear …, 2024 - search.ebscohost.com
This article presents a new strategy for solving the fractional epidemic model of COVID-19
(FEMC-19) in Italy. First a new set of basis functions is proposed to deal with the solutions in …

Some symmetry identities for the unified Apostol-type polynomials and multiple power sums

V Kurt - Filomat, 2016 - JSTOR
The purpose of this paper is to introduce and investigate a new unification of unified family of
Apostol-type polynomials and numbers. We obtain some symmetry identities between these …

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

BS El-Desouky, RS Gomaa… - Journal of …, 2022 - Wiley Online Library
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 …

Unified (p, q)-analog of Apostol type polynomials of order a

U Duran, M Acikgoz, S Araci - 2017 - preprints.org
Motivated by Kurt's work [Filomat 30 (4) 921-927, 2016], we first consider a class of a new
generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol …