Generalization of Taylor’s formula and differential transform method for composite fractional q-derivative
| Autor: | Lata Chanchlani, Jaya Gupta, Subhash Alha |
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| Rok vydání: | 2018 |
| Předmět: |
Algebra and Number Theory
Generalization 010102 general mathematics q-derivative Composite number Inverse 0102 computer and information sciences 01 natural sciences Differential transform method symbols.namesake Number theory 010201 computation theory & mathematics Fourier analysis symbols Applied mathematics 0101 mathematics Mathematics |
| Zdroj: | The Ramanujan Journal. 48:21-32 |
| ISSN: | 1572-9303 1382-4090 |
| DOI: | 10.1007/s11139-018-9997-7 |
| Popis: | In the present paper, we first establish a generalized q-Taylor’s formula involving composite fractional q-derivative. Next, we define the generalized q-differential transform and its inverse for composite fractional q-derivative and establish some basic properties for this transform. We also illustrate the effectiveness of these results by solving two fractional q-difference equations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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