scholarly journals Delay integro differential equations solutions with Euler polynomials method

2021 ◽  
Vol 9 (3) ◽  
pp. 7-20
Author(s):  
Deniz Elmaci ◽  
Nurcan Baykus Savasaneril
Keyword(s):  
Differential Equations ◽  
Euler Polynomials

Time switched differential equations and the Euler polynomials

2013 ◽  
Vol 193 (4) ◽  
pp. 1147-1165 ◽  
Author(s):  
Maria Alice Bertolim ◽  
Alain Jacquemard
Keyword(s):  
Differential Equations ◽  
Euler Polynomials

scholarly journals Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials

Filomat ◽  
2014 ◽  
Vol 28 (4) ◽  
pp. 695-708 ◽  
Author(s):  
H.M. Srivastava ◽  
M.A. Özarslan ◽  
Banu Yılmaz
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Bernoulli Polynomials ◽  
Factorization Method ◽  
Euler Polynomials ◽  
Appell Polynomials ◽  
Partial Differential ◽  
Genocchi Polynomials

Recently, Khan et al. [S. Khan, G. Yasmin, R. Khan and N. A. M. Hassan, Hermite-based Appell polynomials: Properties and Applications, J. Math. Anal. Appl. 351 (2009), 756-764] defined the Hermite-based Appell polynomials by G(x, y, z, t) := A(t)?exp(xt + yt2 + zt3) = ??,n=0 HAn(x, y, z) tn/n! and investigated their many interesting properties and characteristics by using operational techniques combined with the principle of monomiality. Here, in this paper, we find the differential, integro-differential and partial differential equations for the Hermite-based Appell polynomials via the factorization method. Furthermore, we derive the corresponding equations for the Hermite-based Bernoulli polynomials and the Hermite-based Euler polynomials. We also indicate how to deduce the corresponding results for the Hermite-based Genocchi polynomials from those involving the Hermite-based Euler polynomials.

scholarly journals A new approach to space fractional differential equations based on fractional order Euler polynomials

2018 ◽  
Vol 104 (118) ◽  
pp. 157-168 ◽  
Author(s):  
Krishnaveni Krishnarajulu ◽  
Raja Sevugan Balachandar ◽  
Gopalakrishnan Sivaramakrishnan
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Fractional Differential Equations ◽  
Euler Polynomials ◽  
New Approach ◽  
Fractional Differential

Numerical Solutions Based on a Collocation Method Combined with Euler Polynomials for Linear Fractional Differential Equations with Delay

2020 ◽  
Vol 21 (6) ◽  
pp. 539-547
Author(s):  
Ali Konuralp ◽  
Sercan Öner
Keyword(s):  
Differential Equations ◽  
Collocation Method ◽  
Fractional Differential Equations ◽  
Numerical Solutions ◽  
Analytic Solutions ◽  
Euler Polynomials ◽  
The Matrix ◽  
Fractional Differential ◽  
Equations With Delay ◽  
Linear Fractional Differential Equations

AbstractIn this study, a method combined with both Euler polynomials and the collocation method is proposed for solving linear fractional differential equations with delay. The proposed method yields an approximate series solution expressed in the truncated series form in which terms are constituted of unknown coefficients that are to be determined according to Euler polynomials. The matrix method developed for the linear fractional differential equations is improved to the case of having delay terms. Furthermore, while putting the effect of conditions into the algebraic system written in the augmented form in which the coefficients of Euler polynomials are unknowns, the condition matrix scans the rows one by one. Thus, by using our program written in Mathematica there can be obtained more than one semi-analytic solutions that approach to exact solutions. Some numerical examples are given to demonstrate the efficiency of the proposed method.

scholarly journals Euler polynomials method for solving linear integro differential equations

2021 ◽  
Vol 9 (3) ◽  
pp. 21-34
Author(s):  
Deniz Elmaci ◽  
Nurcan Baykus Savasaneril
Keyword(s):  
Differential Equations ◽  
Euler Polynomials

scholarly journals A new class of Appell-type Changhee-Euler polynomials and related properties

2021 ◽  
Vol 6 (12) ◽  
pp. 13566-13579
Author(s):  
Tabinda Nahid ◽  
◽  
Mohd Saif ◽  
Serkan Araci ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Generating Function ◽  
Graphical Representations ◽  
Euler Polynomials ◽  
New Class ◽  
New Type ◽  
Changhee Polynomials

<abstract><p>A remarkably large number of polynomials and their extensions have been presented and studied. In the present paper, we introduce the new type of generating function of Appell-type Changhee-Euler polynomials by combining the Appell-type Changhee polynomials and Euler polynomials and the numbers corresponding to these polynomials are also investigated. Certain relations and identities involving these polynomials are established. Further, the differential equations arising from the generating function of the Appell-type Changhee-Euler polynomials are derived. Also, the graphical representations of the zeros of these polynomials are explored for different values of indices.</p></abstract>

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