{"product_id":"derivative-with-a-new-parameter-theory-methods-and-applications-paperback-9780081006443","title":"Derivative with a New Parameter; Theory, Methods and Applications (Paperback \/ softback) 9780081006443","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDerivative with a New Parameter\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eTheory, Methods and Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis book provides a thorough introduction to newly-established local derivatives and their new parameters, also including their integral transforms and applications, and covering  the definition of beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, and their properties.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAbdon Atangana (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780081006443, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 10 September 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e170 pages\u003cbr\u003e22.9 x 15.1 x 1.2 cm, 0.2 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\"To define a new integral transform, in addition to the definition one must provide an inversion theorem, existence and uniqueness theorems.\" \u003cb\u003e--Zentralblatt MATH\u003c\/b\u003e\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eDerivative with a New Parameter: Theory, Methods and Applications discusses the first application of the local derivative that was done by Newton for general physics, and later for other areas of the sciences. \u003c\/p\u003e  \u003cp\u003eThe book starts off by giving a history of derivatives, from Newton to Caputo. It then goes on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then go on to describe the method for partial differential with the beta derivatives. \u003c\/p\u003e  \u003cp\u003eSubsequent sections give examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases. The book gives an introduction to the newly-established local derivative with new parameters, along with their integral transforms and applications, also including great examples on how it can be used in epidemiology and groundwater studies.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eChapter 1. History of derivatives from Newton to Caputo\u003cbr\u003e1.1: Introduction of calculus \u003cbr\u003e1.2: Definition of local and fractional derivative \u003cbr\u003e1.3: Definitions and Properties of their anti-derivatives (Integral) \u003cbr\u003e1.4: Limitations and strength of local and fractional derivatives \u003cbr\u003e1.5: Classification of fractional derivatives\u003cbr\u003eChapter 2:  Local derivative with new parameter\u003cbr\u003e2.1: Definition and anti-derivative\u003cbr\u003e2.2: Properties of local derivative with new parameter\u003cbr\u003e2.3: Definition Partial derivative with new parameter \u003cbr\u003e2.4: Properties of partial derivatives with new parameters\u003cbr\u003eChapter 3: Novel integral transform \u003cbr\u003e3.1: Definition and properties of beta-Laplace transform\u003cbr\u003e3.2: Definition and properties of beta-Sumudu transform\u003cbr\u003e3.3: Definition and properties of beta-Fourier transform\u003cbr\u003eChapter 4: Method for partial differential with beta derivative\u003cbr\u003e4.1:  Homotopy  decomposition method\u003cbr\u003e4.2: Variational iteration method\u003cbr\u003e4.3:  Sumudu decomposition method\u003cbr\u003e4.4: Laplace decomposition method \u003cbr\u003e4.5: Numerical method \u003cbr\u003eChapter 5:  Applications of local derivative with new parameter\u003cbr\u003e5.1: Model of groundwater flow within the confined aquifer\u003cbr\u003e5.2: Model of groundwater flow equation within a leaky aquifer\u003cbr\u003e5.3: Model of Lassa fever or Lassa hemorrhagic fever \u003cbr\u003e5.4: Model of Ebola hemorrhagic fever \u003cbr\u003eReferences\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Academic Press","offers":[{"title":"Default Title","offer_id":46649111937304,"sku":"9780081006443","price":48.48,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780081006443_9fb35199-bdc2-4c41-b9f6-784edba7736e.jpg?v=1695004130","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/derivative-with-a-new-parameter-theory-methods-and-applications-paperback-9780081006443","provider":"Freshly Printed Books","version":"1.0","type":"link"}