# Research Papers On Fractional Calculus

## Research Papers On Fractional Calculus

View Fractional Calculus Research Papers on Academia.edu for free The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and. in biochemistry,. on behalf of Cairo University) has the pleasure to invite you to contribute in a special issue on “Fractional Calculus Models for the Dynamics of Complex Systems”. Holm [15,16] further developed and applied the tools of discrete fractional calculus to the arena of fractional difference equations. Therefore, the results presented in Chapter 2 can also be viewed as control results for the ndings presented in research papers on fractional calculus the later chapters of this thesis S. William and R. The focus of the research has been on viscoelastic materials This special issue on “Fractional Calculus and its Applications in Applied Mathematics and Other Sciences” is devoted to study the recent works in the above fields of fractional calculus done by the leading researchers. All articles published in the journal during its time with Springer will remain fully searchable through our websites Research paper : Solution of fractional partial differential equations using iterative method Article (PDF Available) in Fractional Calculus and Applied Analysis 15(4) · December 2012 with 3,864. RESEARCH PAPER NUMERICAL METHODS FOR SOLVING THE MULTI-TERM TIME-FRACTIONAL WAVE-DIFFUSION EQUATION Fawang Liu 1, Mark M. fractional calculus generalized operators Green’s theorem Editorial Note : This work received the “ Grünwald-Letnikov Award: Best Student Paper (Theory) ”, at the 2012 Symposium on Fractional Differentiation and Its Applications (FDA’ 2012), Hohai University, Nanjing On Conformable Fractional Calculus, Journal of Computational and Applied Mathematics, 279: pp. Abstract— The present paper is to convert the M-series into M-series for Power function, using fractional calculus. The concept of fractional calculus( fractional derivatives and fractional in-tegral) is not new The conformable fractional derivative behaves well in the product rule and chain rule while complicated formulas appear in case of usual fractional calculus. Purohit and R. Fractional calculus is a ﬁeld of mathematics study that qrows out of the tra-ditional deﬁnitions of calculus integral and derivative operators in much the sameway fractionalexponentsis anoutgrowthof exponentswithintegervalue. Sun, HongGuang and Chang, Ailian and Zhang, Yong and Chen, Wen, A Survey on the Variable-Order Fractional Differential Equations: Mathematical Foundations, Models, Numerical Methods and Its Applications (July 1, 2018). and the variable order of differintegration is kept as a future research subject. As an application, we estimate the ﬂrst eigenvalues of the fractional Laplacian in a ball based paper it is sought to answer the aforementioned questions and to construct a comprehensive picture of what fractional calculus is, and how it can be utilized for modelisation purpose. Mittag-Leffler functions play important rule in. Egolf, K. D. 3. On Conformable Fractional Calculus, Journal of Computational and Applied Mathematics, 279: pp. 2010 The ICFDA’18 is a specialized conference on fractional-order calculus and its applications. The fractional derivatives and integrals and their potential uses have earned a great importance, mainly because they have become. Research on linear and non-linear differential equations and linearization. Fractional calculus of M-Series for Power Function.

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The fractional-order differentiation of arbitrary orders takes into account the memory effect of most systems. Ke Hansong, Prof. See also the recent paper for related work Discrete fractional calculus (DFC) has also an important position in the fractional calculus. K. The collected research papers will provide a short but significant explanation of the most important hot problems in the field of fractional differential equations and their real-word applications. As an application, we estimate the ﬂrst eigenvalues of the fractional Laplacian in a ball If revealing connections between Fractional Calculus and the above-mentioned topics to model problems of the real physical and social world ; Article formats Research Papers, Survey Papers, Discussion Surveys and Notes, Short Notes, Open Problems, Archives. RESEARCH PAPER FRACTIONAL CALCULUS FOR POWER FUNCTIONS AND EIGENVALUES OF THE FRACTIONAL LAPLACIAN Bartˆlomiej Dyda Abstract We calculate the fractional Laplacian ¢ﬁ=2 for functions of the form u(x) = (1 ¡ jxj2)p + and v(x) = xdu(x). Meerschaert 2, Robert J. The conformable fractional derivative of a constant function is zero while it is not the case for Riemann fractional derivatives. Farman Ali #, Manoj Sharma *, Renu Jain. V. The fractional calculus has been receiving considerable interest in recent decades, mainly due to its several interesting applications. Anal. International Journal of Research and Review Research Paper Note on Integral Transform of Fractional Calculus S. Fractal and Fractional (ISSN 2504-3110) is an international, scientific, peer-reviewed, open access journal of fractals and fractional calculus and their applications in different fields of science and engineering published quarterly online by MDPI Open Access - free for readers, with article processing charges (APC) paid by authors or their institutions International Journal of Research and Review Research Paper Note on Integral Transform of Fractional Calculus S. V. Find the right academic journal to publish your paper In this study, the nuclear decay equation is taken under consideration by making use of fractional calculus. This book contains 4 papers of the authors,and all of which are on the research of di erential equations with boundary value problem. Fractional derivatives research papers on fractional calculus provide an excellent instrument for the description of memory and hereditary properties of var-ious materials and process. Over the past few years, a number of fractional calculus applications are being used and in the field of science, engineering and economics [6]. The last two papers in this part emphasize the applications of fractional calculus [13,14], where a novel method for the solution of linear constant coefficient fractional differential equations of any commensurate order is introduced in the former paper, and where the CRONE control-system design toolbox for the control engineering community is. It is a generalization of the integer-order ones. Consequently, thousands of research articles, monographs and international. Our approach uses well-known notion of the Riemann-Liouville fractional derivative Fractional calculus is a rapidly growing field of research, at the interface between probability, differential equations, and mathematical physics. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order Fractional calculus is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. In this context, the first-order time derivative is changed to a Caputo fractional derivative hence, the resulting equation is the time fractional nuclear decay equation Symmetry, an international, peer-reviewed Open Access journal. In this paper we provide a very intuitive approach to the fractional calculus based on the Laplace transform and ideas from the theory of distributions The last two papers in this part emphasize the applications of fractional calculus [13,14], where a novel method for the solution of linear constant coefficient fractional differential equations of any commensurate order is introduced in the former paper, and where the CRONE control-system design toolbox for the control engineering community is. The author's purpose in this dissertation is to introduce, develop and apply the tools of discrete fractional calculus to the arena of fractional difference equations. It were renowned mathematicians like Leibniz (1695), Liouville (1834), Riemann (1892) and others who developed the basic mathematical ideas of fractional calculus (integral and dierential operations of non integer order) This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. A POSTER ABOUT THE RECENT HISTORY OF FRACTIONAL CALCULUS J. In this paper, we offer a tutorial on fractional calculus in controls B.J. [3] B. Objective Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. II. research has been done on fractional calculus, such as [5].