Functional Fractional Calculus

By S. Das. 2011

840 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2732508d5d992e67e81b470508441fb4eb34300e

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In Modeling and Simulation

Citations in the corpus

Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets (2014, background): “The fractional calculus is a name for the theory of integrals and derivatives of arbitrary order, which unifies and generalizes the notions of integerorder differentiation and n-fold integration (Kilbas et al., 2006; Das, 2011).”
A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators (2020, background): “The well-known Riemann-Liouville and Caputo fractional derivatives of a function Δ ∈ ℋ 1 are characterized as and respectively, with k − 1 𝜌 ≤ k [11, 70, 21].”
Approximate controllability of fractional order semilinear systems with bounded delay (2012, background): “It is clear that the linear system corresponding to (11) is controllable as the rank of the matrix [B, AB] is 2, see [3,4].”
A study on fractional host–parasitoid population dynamical model to describe insect species (2020, background): “In the past few years, interest has been growing in FC not only among mathematicians, it is too much popular among physicists, engineers and biologists [17, 30, 31, 41, 58, 59].”
On the existence of solutions of fractional integro-differential equations (2011, neutral): “physical systems’ description and control, one can see [12, 13] by Das.”
Quantum field theory, gravity and cosmology in a fractal universe (2010, background): “J H E P 0 3 ( 2 0 1 0 ) 1 2 0 such as weather and stochastic financial models [34], to system modeling and control in engineering [35].”
Advanced Local Fractional Calculus and Its Applications (2012, neutral): “[215] S.”
The Chronicles of Fractional Calculus (2017, neutral): “2009 [6, 90, 122, 27, 89, 77, 155] [109, 17] 2010 [111, 31, 133, 165, 46] [98, 106, 63] 2011 [156, 144, 87, 65, 126, 92, 3, 187, 207, 78, 44, 93] [86, 18]”