FRACTIONAL CALCULUS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION FUNCTIONS.

Riemann-Liouville fractional calculus of Coalescence Hidden-variable Fractal Interpolation Function (CHFIF) is studied in this paper. It is shown in this paper that fractional integral of order of a CHFIF defined on any interval is also a CHFIF albeit passing through different interpolation points. Further, conditions for fractional derivative of order of a CHFIF is derived in this paper. It is shown that under these conditions on free parameters, fractional derivative of order of a CHFIF defined on any interval is also a CHFIF. [ABSTRACT FROM AUTHOR]