Multiplicity Solutions of Fractional Impulsive $p$-Laplacian Systems: New Result

Abstract

In this paper, the existence of multiplicity distinct weak solutions is proved for differentiable functionals for perturbed systems of impulsive nonlinear fractional differential equations. Further, examples are given to show the feasibility and efficacy of the key findings. This work is an extension of the previous works to Banach space.

Existence and uniqueness of distributional solution for semilinear fractional elliptic equation involving new operator and some numerical results

“…[1][2][3] This attention is due to the fact that they have many applications in all kinds of areas: mechanics, finance, porous media, physics, image processing, viscoelasticity, nonlocal electrostatics, biophysics, and lots of others. For some applications, we refer to other studies, [4][5][6][7][8][9][10][11][12][13] and the references therein. For applied science, we refer to other studies [14][15][16][17][18][19] as an application in the theory of special functions.…”