Inverse-power potentials with positive-bound energy spectrum from fractal, extended uncertainty principle and position-dependent mass arguments

Existence of solutions to uncertain differential equations of nonlocal type via an extended Krasnosel’skii fixed point theorem

“…In [2], the author studied the Dirac equation in the context of generalized uncertainty principle, and, in [3], it has been introduced a new generalized momentum operator taking into account, among others, the extended uncertainty principle.…”

Fractal Pennes and Cattaneo–Vernotte bioheat equations from product-like fractal geometry and their implications on cells in the presence of tumour growth

“…Fractal kinetic theory has been explored in surface chemical reactions [4], spin dynamics [5], adsorption on mesoporous carbons [6], reaction kinetics of proteins and enzymes [7], diffusion-limited reactions [8][9][10], non-extensive thermodynamics [11], rock fractures in fluid flows [12], colloid science [13], fluids dynamics simulations [14], porous media [15] and among others. More generally, fractals have imperative implications in materials sciences [16], fluids flows [17,18], elastic and continuum media [19], electromagnetic theory [20,21], quantum mechanics [22][23][24][25][26], astrophysics [27][28][29][30][31][32][33][34][35][36], fluid mechanics and nanofluid [37,38], transport in complex porous media [39], materials sciences [40], heat transfer [41], etc.…”