Bernoulli fractional differential equation solution using adomian decomposition method

MD Johansyah, AK Supriatna… - IOP Conference …, 2021 - iopscience.iop.org
Fractional calculus relates with derivatives, integrals, and differential equations of order not
integers. The Bernoulli Differential Equation is a form of the first-order ordinary differential …

Operational matrix for multi-order fractional differential equations with hermite polynomials

HY Koşunalp, M Gülsu - Sigma Journal of Engineering and Natural …, 2024 - dergipark.org.tr
In this article, a new operational matrix of fractional integration of Hermite polynomials is
derived to solve multi-order linear fractional differential equations (FDEs) with spectral tau …

[PDF][PDF] Operational matrix by Hermite polynomials for solving nonlinear Riccati differential equations

HY Kosunalp, M Gülsu - Int J Math Comput Sci, 2021 - ijmcs.future-in-tech.net
This paper studies the potential to ensure a numerical solution of nonlinear Riccati
differential equations with an effective method, namely operational matrix which is derived …

Towards solving linear fractional differential equations with Hermite operational matrix

HY Kosunalp, M Gulsu - Advanced Studies: Euro-Tbilisi …, 2023 - projecteuclid.org
This paper presents the derivation of a new operational matrix of Caputo fractional
derivatives through Hermite polynomials with Tau method to solve a set of fractional …

[PDF][PDF] Bernoulli Polynomials Collocation Method for Multi-term Fractional Differential Equations

X Chen, S Lei, L Wang - IAENG Int J Appl Math, 2020 - iaeng.org
In this paper, the numerical solutions of multi-term fractional differential equations are
studied by Bernoulli polynomials collocation method. By using the operational matrix and …

HERMITE OPERATIONAL MATRIX AND COLLOCATION METHODS FOR SOLVING LINEAR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATION

D Mbainguesse, AM Seid, B Abbo… - Far East Journal of …, 2024 - pphmjopenaccess.com
We solve a fractional Fredholm integro-differential equation (FIDE) by operational matrix
method based on the fractional derivative in the sense of Caputo of Hermite orthogonal …

Hermite Operational Matrix for Solving Fractional Differential Equations

HY Koşunalp, M Gülsu - Conference Proceedings of Science and …, 2020 - dergipark.org.tr
This paper aims to solve the fractional differential equations (FDEs) with operational matrix
method by Hermite polynomials in the sense of Caputo derivative. For this purpose, we …

Persamaan Diferensial Fraksional dan Aplikasinya

MD Johansyah, AK Supriatna, E Rusyaman… - 2022 - repository.unibi.ac.id
Persamaan Diferensial Fraksional adalah jenis persamaan diferensial yang mengandung
turunan fraksional dari suatu fungsi yang tidak diketahui. Persamaan diferensial fraksional …

Operational Matrix by Hermite Polynomials for Solving Nonlinear Riccati Differential Equations

H Yalman Kosunalp, M Gülsu - 2021 - acikerisim.mu.edu.tr
This paper studies the potential to ensure a numerical solution of nonlinear Riccati
differential equations with an effective method, namely operational matrix which is derived …