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Fractional Newtonian mechanicsIn the present paper, we have introduced the generalized Newtonian law and fractional Langevin
Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a TheoryFor fractional derivatives and time-fractional differential equations, we construct a framework
Fractional Newtonian mechanicsIn the present paper, we have introduced the generalized Newtonian law and fractional Langevin
On the Stability of Time-Fractional Schrödinger Differential EquationsIn the present paper, the exact solution for time-fractional Schrödinger differential equation in a
On Time Fractional Derivatives in Fractional Sobolev Spaces and Applications to Fractional Ordinary Differential EquationsIn this article, we formulate two kinds of time fractional derivatives of the Caputo type
On the dynamical modeling of COVID-19 involving Atangana–Baleanu fractional derivative and based on Daubechies framelet simulationsIn this paper, we present a novel fractional order COVID-19 mathematical model by involving
Special functions as solutions to the Euler-Poisson-Darboux equation with a fractional power of the Bessel operatorIn this paper, we consider fractional ordinary differential equations and the fractional Euler
A Numerical Study of the Homogeneous Elliptic Equation with Fractional Boundary Conditions in H1(Ω) with Ω bounded domain in ℝd. The boundary conditions involve fractional power α, 0 < α <
NONEXISTENCE OF SOLUTIONS OF SOME INEQUALITIES WITH GRADIENT NONLINEARITIES AND FRACTIONAL LAPLACIAN of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator.
A fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type-sided fractional Bessel derivatives on semi-axes of Gerasimov-Caputo type. We derive explicit solutions
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