...P. K. Singh; S. Saha Ray The article aims to propose the Lerch operational matrix method to solve a stochastic fractional differential equation. In this approach, the Lerch polynomials have been used as a basis function. Then, the product operational matrix, integral operational matrix, stochastic...

...R. C. Mittal; Sapna Pandit Fractional Bloch equation is a generalized form of the integer order Bloch equation. It governs the dynamics of an ensemble of spins, controlling the basic process of nuclear magnetic resonance (NMR). Scale-3 (S-3) Haar wavelet operational matrix along with quasi...

...] Nemati , A. , Yousefi , S. , Soltanian , F. , and Ardabili , J. S. , 2016 , “ An Efficient Numerical Solution of Fractional Optimal Control Problems by Using the Ritz Method and Bernstein Operational Matrix ,” Asian J. Control , 18 ( 6 ), pp. 2272 – 2282 . 10.1002/asjc.1321 [32...

... an operational matrix approach for introducing an approximate solution of the fractional subdiffusion equation (FSDE) with both Dirichlet boundary conditions (DBCs) and Neumann boundary conditions (NBCs). We propose a spectral method in both temporal and spatial discretizations for this equation. Our approach...

... and operational matrix together and efficaciously dispersing the coefficients. The behavior of the solutions and the effects of different values of fractional order α are graphically shown. The fundamental idea of the Haar wavelet method is to convert the fractional Klein–Gordon equations into a group...