Results 21 to 30 of about 2,492 (112)

Growth Equation of the General Fractional Calculus [PDF]

Mathematics, 2019
We consider the Cauchy problem ( D ( k ) u ) ( t ) = λ u ( t ) , u ( 0 ) = 1 , where D ( k ) is the general convolutional derivative introduced in the paper (A. N. Kochubei, Integral Equations Oper. Theory 71 (2011), 583–600), λ > 0 . The solution is a generalization of the function t ↦ E α ( λ t α )
Anatoly Kochubei, Yuri Kondratiev
openaire   +3 more sources

Can Fractional Calculus be Generalized: Problems and Efforts

European Journal of Pure and Applied Mathematics, 2018
Fractional order calculus always includes integer-order too. The question that crops up is: Can it be a widely accepted generalized version of classical calculus? We attempt to highlight the current problems that come in the way to define the fractional calculus that will be universally accepted as a perfect generalized version of integer-order ...
Sen, Syamal K., Vasundhara Devi, J., Ravi Kumar, R. V. G.   +2 more
openaire   +2 more sources

General Fractional Calculus, Evolution Equations, and Renewal Processes [PDF]

Integral Equations and Operator Theory, 2011
To appear in Integral Equations and Operator ...
openaire   +2 more sources

The Generalized Fractional Calculus of Variations

, 2014
This is a preprint of a paper whose final and definite form will appear in Southeast Asian Bulletin of Mathematics (2014)
Odzijewicz, Tatiana, Torres, Delfim F. M.   +1 more
openaire   +3 more sources

Generating the generalized distributions by using fractional calculus

Journal of Hyperstructures, 2016
In this paper, we generalized some statistical distribu- tions by using fractional calculus. The domain of parameter space for these distributions was expanded and their PDFs also presented as a product of fractional derivation of Dirac delta function of shape parameter order.
Ganji, Masoud, Gharari, Fatemeh
openaire   +2 more sources

Generalized fractional calculus with applications to the calculus of variations

Computers & Mathematics with Applications, 2012
Submitted 22-Dec-2011; revised 26-Jan-2012; accepted 27-Jan-2012; for publication in Computers and Mathematics with ...
Odzijewicz, T., Malinowska, A.B., Torres, D.F.M.   +2 more
openaire   +4 more sources

Generalized Fractional Calculus of Variations

, 2014
PhD thesis, Doctoral Programme in Mathematics and Applications (PDMA), University of Aveiro and University of Minho, 2013. Supervisor: Delfim F. M. Torres; co-supervisor: Agnieszka B. Malinowska. Defended and approved 18-Sept-2013. See http://hdl.handle.net/10773/11731.
openaire   +2 more sources

ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

, 2019
In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.
SARIKAYA, M. Z., BUDAK, H., USTA, H.
openaire   +6 more sources

Discrete stochastic maximal regularity. [PDF]

Math Ann
Evangelopoulos-Ntemiris F, Veraar M.
europepmc   +1 more source

Sharp Lyapunov inequalities and the emergence of chaos in discrete fractional systems. [PDF]

Sci Rep
Arab M, Mohammed PO, Baleanu D, Hamasalh FK.   +3 more
europepmc   +1 more source