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Öğe New Applications of Sumudu Transform Method with Different Fractional Derivatives(Springer, 2022) Karatas Akgül, Esra; Akgül, AliCaputo fractional derivative and Riemann–Liouville integral are very helpful operators to model non-local behaviours. Then by using these operators, investigators defined a new operator that is the proportional derivative. In some cases, this operator can be written like a linear combination of a Riemann–Liouville integral and a Caputo derivative. In this study, we used Caputo derivative and constant proportional Caputo derivative when solving our examples with Sumudu transform method. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.