Investigation of the Solution for the $k$-dimensional Device of Differential Inclusion of Laplacian Fraction with Sequential Derivatives and Boundary Conditions of Integral and Derivative

Shahram Rezapour, Mostafa Fatehi, Mohammad Esmael Samei

Abstract


In this paper, we intend to investigate the solutions of the fractional differential inclusion system with successive derivatives with the Laplace operator and according to the derivative and integral boundary conditions. In this regard, we use the fixed point and end point theorems. Finally, we will show this device's effectiveness by providing some practical examples.

Keywords


$p$-Laplacian, end point, Caputo fractional derivatives, $k$-dimensional differential inclusion, Riemann-Liouville fractional derivative

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