
In this paper, the fundamental properties of fractional calculus are discussed with the aim of extending the definition of fractional operators by using wavelets. The Haar wavelet fractional operator is defined, in a more general form, independently on the kernel of the fractional integral.
operational matrix., Fractional derivatives and integrals, Science, Q, operational matrix, haar wavelet, Haar wavelet, Nontrigonometric harmonic analysis involving wavelets and other special systems, fractional calculus, wavelet theory
operational matrix., Fractional derivatives and integrals, Science, Q, operational matrix, haar wavelet, Haar wavelet, Nontrigonometric harmonic analysis involving wavelets and other special systems, fractional calculus, wavelet theory
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