Results 51 to 60 of about 1,913,284 (306)
Determination of the Order of Fractional Derivative for Subdiffusion Equations [PDF]
Fractional Calculus and Applied Analysis, 2020 The identification of the right order of the equation in applied fractional modeling plays an important role. In this paper we consider an inverse problem for determining the order of time fractional derivative in a subdiffusion equation with an ...
R. Ashurov, S. Umarov
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Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus
Entropy, 2023 This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman +2 more
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FRACTIONAL CENTRAL DIFFERENCES AND DERIVATIVES [PDF]
IFAC Proceedings Volumes, 2006 Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials.
openaire +2 more sources
Advances in Difference Equations, 2018 Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab +2 more
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Engineering Science and Technology, an International Journal, 2023 This work develops a new Legendre delay operational matrix based on Legendre polynomial features that are integrated with regard to the Legendre fractional derivative operational matrix in order to solve the issues.
Mays Basim +3 more
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The General Fractional Derivative and Related Fractional Differential Equations
Mathematics, 2020 In this survey paper, we start with a discussion of the general fractional derivative (GFD) introduced by A. Kochubei in his recent publications. In particular, a connection of this derivative to the corresponding fractional integral and the Sonine ...
Yuri Luchko, Masahiro Yamamoto
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Continuous grey model with conformable fractional derivative [PDF]
Chaos, Solitons & Fractals, 2020 Fractional-order grey models have received more attention owing to superiority to integer-order ones in terms of the prediction performance. In this paper, to further improve the performance of grey-based model, a new method based on conformable ...
Wanli Xie +4 more
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On the solution of the space-time fractional cubic nonlinear Schrödinger equation
Results in Physics, 2018 The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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Journal of Advanced Research, 2023 Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able to provide an accurate statement ...
Mohammad Hossein Heydari +2 more
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