Caibin zeng, university of california, merced, eecs department, graduate student studies fractional brownian motion and fractional calculus and its applications. Purpose - the purpose of this paper is to present numerical solutions for the space‐ and time‐fractional korteweg‐de vries (kdv) equation using homotopy analysis method (ham. Leibniz research paper this paper was written for math 4044: history of math i wrote this paper on gottfried leibniz because i was interested in his contributions to integral calculus, as well as whether or not he made these discoveries before issac newton. Research paper fractional calculus of variations for a combined caputo derivative agnieszka b malinowska 1, delﬁm f m torres 2 abstract we generalize the fractional caputo derivative to the fractional deriv.
Fractional calculus is a generalization of classical calculus, which is a generalization of ordinary differentiation and integration to arbitrary order, and has recently been used in various fields like physics, engineering, biology, and finance. Research paper on fractional derivatives, a topic that i have found to be fascinating solution by using fractional calculus examples of the tautochrone problem. This is the first in a series of papers which explore the applicability of fractional calculus in real-world applications, redefining the true nature of fractional calculus research interests: fractional differential equations , fractional calculus and its applications , and fractional calculus. The icfda'18 is a specialized conference on fractional-order calculus and its applicationsit is a generalization of the integer-order ones the fractional-order differentiation of arbitrary orders takes into account the memory effect of most systems.
Application of adomian decomposition method to seepage flow derivatives in porous media using fractional calculus in this paper, we have solved seepage flow. Research papers applications of fractional calculus to the theory of viscoelasticity in terms of the mittag-leffler function that depends on the fractional. The second law ensures that the heat ﬂows from hot to cold regions, and this condition is analyzed in the context of the fractional calculus msc 2010: 35q80, 35r11, 26a33 key words and phrases: second law of thermodynamics, fractional heat equation, fractional derivatives and integrals 1. Math history: possible topics for term papers • fractional calculus • transcendental numbers • concept of irrationals • surreal numbers • knot theory.
Generalized integral inequalities for fractional calculus 30 research papers in high-quality international journals and works as a reviewer for in many. Lists of mathematics topics many mathematics journals ask authors of research papers and expository articles to list subject codes from the mathematics subject. Abstractthis paper introduces an adaptive fractional-order sliding-mode controller for stabilization of a two-axis gimbal platform in the presence of the torque disturbance effects.
He is author of several papers on applied mathematics, continuum mechanics, wave motion, fractional calculus and stochastic processes, most of which appeared in refereed journals and books see the complete list of publications (articles, proceedings, reports . View calculus of variations research papers on academiaedu for free. A guide for selecting small unmanned aerial systems for research (mesa lab's paper an essay on unmanned aerial systems insurance fractional calculus day.
Research paper product rule for vector fractional derivatives diogo bolster 1, mark m meerschaert 2, alla sikorskii 3 abstract this paper establishes a product rule for fractional derivatives of a real. Laplace transform of fractional order fractional calculus is generally believed to have stemmed from a question raised fractional systems in this paper, its. A potentially exciting new research area 3/3/13: our paper on optimal random search+afc accepted by fractional dynamics and fractional calculus.
Research papers a numerical scheme for a class of parametric problem of fractional variational calculus return to: a numerical scheme for a class of parametric. Compared with the continuous fractional calculus and fractional order differential equations, we can see that the research about the discrete fractional calculus and fractional difference equations has seen slower progress, but in recent years, a number of papers have appeared, and the study of the discrete fractional calculus and fractional. The rest of the papers can be roughly grouped into three parts: three papers for fundamental theories of fractional calculus [7-9], five papers for fractional modelling with applications [10-14] and four papers for numerical approaches [15-18.
Download fractional calculus and its applications research papers page 1 apache server 2 0 the complete reference - manual 747 pmdg - clinical dermatology - 60 more quick baby. Research papers: modeling fractional dynamics: a statistical perspective fractional calculus is a mathematical paradigm that has been increasingly adopted to. Research papers a modified fractional calculus approach to model hysteresis this paper describes the development of a fractional calculus approach to model the. I am searching for a new research application to fractional differential equations (fractional calculus) it could be in the field of science, engineering, finance or the like any recommendations.