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001484291 001__ 1484291
001484291 003__ OCoLC
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001484291 019__ $$a1410561031
001484291 020__ $$a9789819960804$$q(electronic bk.)
001484291 020__ $$a9819960800$$q(electronic bk.)
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001484291 0247_ $$a10.1007/978-981-99-6080-4$$2doi
001484291 035__ $$aSP(OCoLC)1410592983
001484291 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dOCLCO
001484291 049__ $$aISEA
001484291 050_4 $$aQA372
001484291 08204 $$a515/.35$$223/eng/20231207
001484291 1001_ $$aBalachandran, K.,$$d1956-
001484291 24513 $$aAn introduction to fractional differential equations /$$cK. Balachandran.
001484291 260__ $$aSingapore :$$bSpringer,$$c2023.
001484291 300__ $$a1 online resource (163 p.).
001484291 4901_ $$aIndustrial and Applied Mathematics
001484291 504__ $$aIncludes bibliographical references and index.
001484291 5050_ $$aIntro -- Preface -- Contents -- 1 Introduction -- 1.1 Brief History -- 1.2 Special Functions -- 1.3 Laplace Transform -- 1.4 Inverse Laplace Transform -- 1.5 Fixed Point Theorems -- 1.6 Function Spaces -- 1.7 Exercises -- References -- 2 Fractional Calculus -- 2.1 Preliminaries -- 2.2 Riemann-Liouville Fractional Integrals and Derivatives -- 2.3 Caputo Fractional Derivatives -- 2.4 Examples -- 2.5 Exercises -- References -- 3 Fractional Differential Equations -- 3.1 Motivation -- 3.2 Equation with Constant Coefficient -- 3.3 Equation with Matrix Coefficient -- 3.4 Nonlinear Equations
001484291 5058_ $$a3.5 Nonlinear Damped Equations -- 3.6 Examples -- 3.7 Exercises -- References -- 4 Applications -- 4.1 Observability -- 4.2 Controllability of Linear Systems -- 4.3 Controllability of Nonlinear Systems -- 4.4 Stability -- 4.5 Nonlinear Equations -- 4.6 Examples -- 4.7 Exercises -- References -- 5 Fractional Partial Differential Equations -- 5.1 Motivation -- 5.2 Fractional Partial Integral and Derivative -- 5.3 Linear Fractional Equations -- 5.3.1 Adomian Decomposition Method -- 5.3.2 Fractional Diffusion Equation -- 5.3.3 Fractional Wave Equation -- 5.3.4 Fractional Black-Scholes Equation
001484291 5058_ $$a5.4 Nonlinear Fractional Equations -- 5.4.1 Dirichlet Boundary Condition -- 5.4.2 Neumann Boundary Condition -- 5.5 Fractional Equations with Kernel -- 5.6 Examples -- 5.7 Exercises -- References -- 6 Fractional Integrals and Derivatives -- 6.1 Definitions of Fractional Integrals -- 6.2 Definitions of Fractional Derivatives -- 6.3 Comments -- 6.4 Examples -- 6.5 Exercises -- References -- Appendix Index -- Index
001484291 506__ $$aAccess limited to authorized users.
001484291 520__ $$aThis is an introductory-level text on fractional calculus and fractional differential equations. Targeted to graduate students of mathematics and researchers, it contains several new definitions of fractional integrals and fractional derivatives. With interesting applications of the subject in several areas of physical sciences, life sciences, engineering, and technology, the book helps the students understand the importance and developments of this topic. The book is enriched with a list of useful references to published literature, and the presentation of the book is entirely new and easily comprehensible to the students. Some of the topics are refined, and new examples are included to supplement theories to help students understand the concepts easily and clearly.
001484291 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 7, 2023).
001484291 650_0 $$aFractional differential equations.
001484291 650_6 $$aÉquations différentielles fractionnaires.
001484291 655_0 $$aElectronic books.
001484291 77608 $$iPrint version:$$aBalachandran, K.$$tAn Introduction to Fractional Differential Equations$$dSingapore : Springer,c2023
001484291 830_0 $$aIndustrial and applied mathematics.
001484291 852__ $$bebk
001484291 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-99-6080-4$$zOnline Access$$91397441.1
001484291 909CO $$ooai:library.usi.edu:1484291$$pGLOBAL_SET
001484291 980__ $$aBIB
001484291 980__ $$aEBOOK
001484291 982__ $$aEbook
001484291 983__ $$aOnline
001484291 994__ $$a92$$bISE