Riemann–Liouville calculus on quadratic fractal interpolation function with variable scaling factors

In this paper, we explore the Riemann–Liouvllie fractional calculus of quadratic fractal interpolation function (QFIF) with variable scaling factors. Fractional calculus of QFIF with predefined initial condition is investigated in an arbitrary closed interval of $$\mathbb {R}$$R. Further, the relation between the order of fractional integral (derivative) and the box dimension of QFIF is established.

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