???????Generalized derivatives and Laplace transform in (k, ?)-Hilfer form

In this work, we discuss the most generalized derivatives and integrals and their features in (k, psi)-Hilfer form. Furthermore, we define the new generalized Laplace transform to the generalized derivatives and integrals in (k, psi)-Hilfer form. Also, we have obtained the new generalized Laplace transforms of some expressions. These statements obtained cover many previous studies. Finally, we have given an example that will both use some of the results obtained and emphasize the importance of parameters such ask, rho, psi of the (k, psi)-generalized Laplace transform.

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In this work, the most generalized derivatives and integrals in (k, psi)-Hilfer form are discussed, with their features explored. Additionally, a new generalized Laplace transform is defined for the generalized derivatives and integrals in (k, psi)-Hilfer form, and the new Laplace transforms of certain expressions are obtained. These findings encompass previous studies and emphasize the importance of parameters such as k, rho, and psi in the (k, psi)-generalized Laplace transform.