Fractional Calculus and Shannon Wavelet

<table>Fractional derivative of the scaling functions <svg height="21.0875" id="M166" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 123.7375 21.0875" width="123.7375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.017,-0,0,-.017,38.038,16.588)"><use xlink:href="#x2F"></use></g><g transform="matrix(.017,-0,0,-.017,45.041,16.588)"><use xlink:href="#x1D451"></use></g><g transform="matrix(.017,-0,0,-.017,54.475,16.588)"><use xlink:href="#x1D465"></use></g>
<g transform="matrix(.012,-0,0,-.012,63.975,8.425)"><use xlink:href="#x33"></use></g><g transform="matrix(.012,-0,0,-.012,69.686,8.425)"><use xlink:href="#x2F"></use></g><g transform="matrix(.012,-0,0,-.012,74.589,8.425)"><use xlink:href="#x31"></use></g><g transform="matrix(.012,-0,0,-.012,80.3,8.425)"><use xlink:href="#x30"></use></g>
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</svg> (a) and <svg height="13.1625" id="M168" style="vertical-align:-1.59705pt" version="1.1" viewbox="0 0 99.775002 13.1625" width="99.775002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> (b).</table>

Mathematical Problems in Engineering

Fractional Calculus and Shannon Wavelet

Figure 3