Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Talib, Imran"

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A Decomposıtıon Algorıthm Coupled Wıth Operatıonal Matrıces Approach Wıth Applıcatıons To Fractıonal Dıfferentıal Equatıons

Talib, Imran; Alam, Md. Nur; Baleanu, Dumitru; Zaidi, Danish (2021)

In this article, we solve numerically the linear and non-linear fractional initial value problems of multiple orders by developing a numerical method that is based on the decomposition algorithm coupled with the operational ...
A generalized operational matrix of mixed partial derivative terms with applications to multi-order fractional partial differential equations

Talib, Imran; Jarad, Fahd; Mirza, Muhammad Umar; Nawaz, Asma; Riaz, Muhammad Bilal (2022-01)

In this paper, a computational approach based on the operational matrices in conjunction with orthogonal shifted Legendre polynomials (OSLPs) is designed to solve numerically the multi-order partial differential equations ...
A new integral operational matrix with applications to multi-order fractional differential equations

Talib, Imran; Alam, Md Nur; Baleanu, Dumitru; Zaidi, Danish; Marriyam, Ammarah (2021)

In this article, we propose a numerical method that is completely based on the operational matrices of fractional integral and derivative operators of fractional Legendre function vectors (FLFVs). The proposed method is ...

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