Certain implementations in fractional calculus operators involving Mittag-Leffler-confluent hypergeometric functions
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Bibliographic record
Abstract
The Mittag-Leffler function and confluent hypergeometric functions were created to approximate interpolation in exponential functions. The researchers noted that Prabhakar’s integral transformation, which involves extended multi-parameter Mittag-Leffler functions, may be used to create and explore different fractional calculus models. This four-parameter function is further illustrated in graphs using MATLAB. With classical (Riemann–Liouville) fractional integrals, the research shows a set of formulations for these fractional differintegral operators. Moreover, using AB Model results of Prabhakar and the generalized Prabhakar models, the authors use a series of formulae to come up with new results. This paper demonstrates how this series formula may be used to provide simple alternative evidence for numerous well-known effects of Prabhakar differintegrals.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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