Research Papers On Fractional Calculus

Fractional Calculus and Its Applications in Applied Mathematics and 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 The papers for this special issue were selected after a careful and studious peer-review process. The issue contains eight research papers. Journal of Fractional Calculus and Applications and Applications is a peer-reviewed international electronic journal, which publishes both surveys/reviews and research articles on the fields of fractional-order differential and integral equations and its applications in all fields of Science. The Concepts and Applications of Fractional Order - arXiv 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. The focus of the research has been on viscoelastic materials. After an extensive literature review of the concepts and application of this nbsp; Fractional Calculus: Definitions and Applications - TopSCHOLAR : Definitions and Applications quot; (2009). Masters Theses amp; Specialist Projects. Paper 115. Dean, Graduate Studies and Research. Date . Fractional calculus owes its origin to a question of whether the meaning of a derivative to an integer nbsp; Fractional calculus of variations for a combined Caputo derivative . 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- ative CD α, β γ. , which is a convex combination of the left Caputo fractional. Fractional Calculus and Applied Analysis - Springer and Applied Analysis will cease to be published with Springer by the end of 2014. The journal will continue in cooperation with a new publisher, De Gruyter, and the Latest Articles. Research Paper On the operational solutions of fuzzy fractional differential equations middot; Djurdjica Takači, Arpad Takači FRACTIONAL CALCULUS (PDF Download Available) - ResearchGate thesis starting with the following thesis statement: The paper discusses fractional integrals and derivatives, fractional differential equations, and fractional calculus in the light of complex analysis. . Special Issue on Fractional Calculus Theory and Application Publishing . Special Issue on Fractional Calculus Theory and Application. Call for Papers. Fractional calculus has been a hot area of research for several years and is undergoing rapidly and ongoing devel- opment. As a branch of infinitesimal calculus, fractional calculus specially nbsp; Fractional Calculus and its Applications in Physics Frontiers Topic, we provide an international forum for researchers to contribute with original research as well as review papers focusing on the latest achievements in the theory and applications of fractional calculus. Potential topics include, but are not limited to, recent results in:- Fractional Differential Equati On fractional order derivatives and Darboux problem for implicit RESEARCH PAPER. ON FRACTIONAL ORDER DERIVATIVES and the Caputo fractional order derivatives, and we investigate the exis- tence and uniqueness of solutions for the initial value The idea of fractional calculus and fractional order differential equa- tions and inclusions has been a subject of nbsp;

generalized fractional calculus with applications in mechanics

. GENERALIZED FRACTIONAL CALCULUS. WITH APPLICATIONS IN MECHANICS. L jubica Oparnica. Abstract. In the studies concerned with the stability of the viscoelastic rod of fractional type it is shown that many problems are nbsp; On fractional order derivatives and Darboux problem for implicit RESEARCH PAPER. ON FRACTIONAL ORDER DERIVATIVES and the Caputo fractional order derivatives, and we investigate the exis- tence and uniqueness of solutions for the initial value The idea of fractional calculus and fractional order differential equa- tions and inclusions has been a subject of nbsp; Some applications of fractional calculus operators to certain is to prove various distortion theorems for the fractional calculus of functions in the subclasses R α, β and C α, β consisting of prestarlike and The present investigation was supported, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007353. Fractional calculus and its applications - NCBI - NIH and its applications is undergoing rapid developments with more and more convincing applications in the real world 4, 5 . This Theme Issue, including one review article and 12 research papers, can be regarded as a continuation of our first special issue of European Physical Journal Special Topics nbsp; Recent Advances in Fractional Calculus and Its Applications - MDPI . Open AccessArticle A Class of Extended Mittag Leffler Functions and Their Properties Related to Integral Transforms and Fractional Calculus. by Rakesh K. Parmar. Mathematics 2015, 3(4), 1069-1082; doi:10. 3390/math3041069. Received: 30 March 2015 / Revised: 11 October nbsp; The Theory of Discrete Fractional Calculus - DigitalCommons in Mathematics by an authorized administrator of. DigitalCommons University of Nebraska - Lincoln. Holm, Michael T. , quot;The Theory of Discrete Fractional Calculus: Development and Application quot; (2011). Dissertations, Theses, and. Numerical Methods for Fractional Differential Equations study that grow out of the traditional definitions of calculus integral and derivative 1 , 2 , 5 , this paper concern with the problem that tries to Research phases : Phase 1: background enhancement: A comprehensive of text book that covers Fractional differential equations, their existing numerical solvers. Applications of Fractional Calculus to the Theory of Viscoelasticity The connection between the fractional calculus and the theory of Abel 39;s integral equation is shown for materials with memory. Expressions for creep and relaxation functions, in terms of the Mittag-Leffler function that depends on the fractional derivative parameter β, are obtained. These creep and nbsp; Fractional calculus and its applications - Potsdam Institute for with applications, can be found in Machado et al. 3 . Now, fractional calculus and its applications is undergoing rapid developments with more and more convincing applications in the real world 4, 5 . This Theme Issue, including one review article and 12 research papers, can be regarded as a continuation nbsp; Fractional Differential Calculus - Ele-Math Differential Calculus 39; ( 39;FDC 39;) aims to publish original research papers on fractional differential and integral calculus, fractional differential equations and related topics. Specifically, contributions on both the mathematical and the numerical analysis of fractional differential calculus in engineering and sciences are nbsp; Fractional Differential Calculus - Ele-Math Differential Calculus 39; ( 39;FDC 39;) aims to publish original research papers on fractional differential and integral calculus, fractional differential equations and related topics. Specifically, contributions on both the mathematical and the numerical analysis of fractional differential calculus in engineering and sciences are nbsp;

An Introduction to Fractional Calculus - Nova Science Publishers

collaborator of Dr. A. M. Mathai 39;s since 1984, mainly in the areas of astrophysics, special functions and statistical distribution theory. He is also a lifetime member of CMSS and a Professor at CMSS. A large number of papers have been published jointly in these areas since nbsp; Advances in fractional calculus: Control and signal processing offers a comprehensive discussion on the applications of fractional calculus in the design and implementation of fractional-order systems in the form of electronic circuits which could be used for signal processing and control engineering The final part of the article presents possible research topics in this area. A Workshop on Future Directions in Fractional Calculus Research and Applications took place during the week of 17 - 21 October 2016, in C405 Wells Hall at Call for Papers for substantially extended versions of papers presented at the Workshop on Future Directions in Fractional Calculus Research and Applications as nbsp; Volterra integral equations and fractional calculus - Semantic Scholar differential equation. 1 Introduction. In this paper we consider the question of whether or not the solutions to two. Volterra integral equations which have the same kernel but different forcing terms may intersect at some future time. Our discussions are motivated by. 1 Corresponding author. Chester Research nbsp; Research Article Stability Analysis for a Fractional HIV - Helda Article. Stability Analysis for a Fractional HIV Infection Model with. Nonlinear Incidence. Linli Zhang, 1 Gang Huang, 2 Anping Liu, 2 and Ruili Fan3. 1Department . efficacy of nonlytic component. The paper is organized as follows. In the next section, we give two definitions and two lemmas about fractional calculus. Generalized integral inequalities for fractional calculus: Cogent . He received his PhD degree from Abdus Salam School of Mathematical University, Government College University Lahore, Pakistan. He is a member of Pakistan Mathematical Society. He has published more than 30 research papers in high-quality international journals and nbsp; Numerical Schemes for Fractional Ordinary - InTechOpen In short, fractional calculus and fractional differential equations have played more and more important derivative is more welcome and many earlier research papers use it instead of Caputo derivative theories of fractional calculus, many research monographs are published, e. g. , (Oldham amp;. Spanier nbsp; Recent History of Fractional Calculus presented at conferences and advanced schools, concerning various applications of fractional calculus. Already since several years, there exist two international journals devoted The authors believe that the volume of research in the area of fractional calculus will continue to grow in the. Fractional calculus helps control systems hit their mark EurekAlert Compared with classical (or integer-order) calculus, which forms the mathematical basis of most control systems, fractional calculus is better equipped to handle the time-dependent JAS publishes papers on original theoretical and experimental research and development in all areas of automation.