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Fractional Calculus : Generalized Integral and Derivative (On Fractional Calculus and Its Applications)

Fractional Calculus : Generalized Integral and Derivative (On Fractional Calculus and Its Applications)
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Fractional calculus and generalized Rodrigues formula

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rida, Saad Zagloul, El-Sayed, Ahmed M. A.   +1 more
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Generalized Fractional Calculus and Behaviors

2020
We show in this chapter that the module-behavior duality can also be applied to fractional or symbolic calculus, to suitably defined fractional behaviors and to the constructive solution of general fractional differential systems. We generalize the standard fractional calculus considerably.
Ulrich Oberst, Martin Scheicher, Ingrid Scheicher   +2 more
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Mikusiński’s operational calculus for general conjugated fractional derivatives

Boletín de la Sociedad Matemática Mexicana, 2023
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Chaotic property in general fractional calculus

Chaos: An Interdisciplinary Journal of Nonlinear Science
We prove the chaos property, in the sense of Devaney, of the discrete-time fractional derivative understood in the framework of general fractional calculus. The latter means the discretization of a differential-convolution operator whose kernel has the Laplace transform belonging to the Stieltjes class.
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FOUNDATION OF THE FRACTIONAL CALCULUS IN GENERALIZED FUNCTION ALGEBRAS

Analysis and Applications, 2012
We introduce an approach to fractional derivatives involving singularities based on the theory of algebras of generalized functions in the sense of Colombeau. We are interested in solving fractional nonlinear ODEs and PDEs with singularities with a lack of solutions in the space of classical functions or distributions.
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Iterative Methods and Generalized g-Fractional Calculus

2015
We approximated solutions of some iterative methods on a generalized Banach space setting in [5].
George A. Anastassiou, Ioannis K. Argyros   +1 more
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Secant-Like Algorithms and Generalized Fractional Calculus

2015
We present local and semilocal convergence results for secant-like algorithms in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
George A. Anastassiou, Ioannis K. Argyros   +1 more
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On the origins of generalized fractional calculus

AIP Conference Proceedings, 2015
In Fractional Calculus (FC), as in the (classical) Calculus, the notions of derivatives and integrals (of first, second, etc. or arbitrary, incl. non-integer order) are basic and co-related. One of the most frequent approach in FC is to define first the Riemann-Liouville (R-L) integral of fractional order, and then by means of suitable integer-order ...
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Generalized Fractional Calculus

2021
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