3Definitions of Fractal-Fractional Operators with Numerical Approximations
3.1 INTRODUCTION
To accomplish two distinct goals, two classes of non-conventional differential and integrals were established. On the one hand, the idea of fractional calculus was developed to account for memory effects seen in a variety of real-world issues, namely, the power process, fading memories, and cross-over behaviours. The idea of fractal calculus, on the other hand, is essentially a differential operator with a power law setting. In order to solve these physical issues that reveal self-similar patterns, new differential and integral operators were devised. These new operators were inspired by the formulation of fractal representation. ...
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