Identification of time-varying linear and bilinear systems via Fourier series
Computers and Electrical Engineering
Applied Mathematics and Computation
Analytical approximate solutions for nonlinear fractional differential equations
Applied Mathematics and Computation
Fractional system identification for lead acid battery state of charge estimation
Signal Processing - Fractional calculus applications in signals and systems
Fractional order control strategies for power electronic buck converters
Signal Processing - Fractional calculus applications in signals and systems
Journal of Computational and Applied Mathematics
Analytical solution of a fractional diffusion equation by variational iteration method
Computers & Mathematics with Applications
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The Riemann-Liouville fractional integral for repeated fractional integration is expanded in block pulse functions to yield the block pulse operational matrices for the fractional order integration. Also, the generalized block pulse operational matrices of differentiation are derived. Based on the above results we propose a way to solve the fractional differential equations. The method is computationally attractive and applications are demonstrated through illustrative examples.