output
20022025
most citedTrends, Directions for Further Research, and Some Open Problems of Fractional Calculus

137 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

6 papers

nlin.CD2025★ 75 cited

General Fractional Dynamics

Vasily E. Tarasov

General fractional dynamics (GFDynamics) can be viewed as an interdisciplinary science, in which the non-local properties of linear and nonlinear dynamical systems are studied by u…

q-bio.PE2025★ 17 cited

Predator-prey models with memory and kicks: Exact solution and discrete maps with memory

Vasily E. Tarasov

In this paper, we proposed new predator-prey models that take into account memory and kicks. Memory is understood as the dependence of current behavior on the history of past behav…

nlin.PS2025★ 20 cited

Fractional Dynamics with Non-Local Scaling

Vasily E. Tarasov

Nonlinear fractional dynamics with scale invariance in continuous and discrete time approaches are described. We use non-integer-order integro-differential operators that can be in…

math.GM2021★ 57 cited

General fractional calculus: Multi-kernel approach

Vasily E. Tarasov

For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in the works Mathematics 9(6) (2021) 594 and Symmetry 13(5) (2021) 755. In these wo…

math.CA2021★ 137 cited

Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus

Kai Diethelm, Virginia Kiryakova, Yuri Luchko +2

The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state…

physics.class-ph2002★ 22 cited

Experimental evidence that the gravitational constant varies with orientation

Mikhail L. Gershteyn, Lev I. Gershteyn, Arkady Gershteyn +1

In 1687, Isaac Newton published the universal law of gravitation stating that two bodies attract each other with a force proportional to the product of their masses and the inverse…