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Titlebook: Discrete Fractional Calculus; Christopher Goodrich,Allan C. Peterson Textbook 2015 Springer International Publishing Switzerland 2015 Nabl

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https://doi.org/10.1007/978-3-319-25562-0Nabla fractional calculus; discrete fractional calculus; fractional boundary value problems; integer-or
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978-3-319-79809-7Springer International Publishing Switzerland 2015
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Implementing Microsoft DynamicsMore specifically, we begin in Sect. . by defining the quantum difference operator and derive several of its properties. Then in Sect. . we define an exponential function for the quantum calculus and derive several of its properties.
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https://doi.org/10.1007/978-3-540-71593-1This chapter focuses on what we call the . whose elements we will define in terms of a point . and two linear functions. There has been recent interest in mixed time scales by Auch [37, 38], Auch et al. [39], Estes [34, 78], Erbe et al. [76], and Mert [145].
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Simplifying and Creating SynergiesIn this chapter we derive the Green’s function for the fractional boundary value problem (FBVP) . where . ∈ (1, 2] and ..
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Basic Difference Calculus,In this section we introduce the basic delta calculus that will be useful for our later results. Frequently, the functions we consider will be defined on a set of the form . where . or a set of the form . where . and . − . is a positive integer.
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