Generalizations of Truncated M-Fractional Derivative Associated with (p, k)-Mittag-Leffler Function with Classical Properties

Mehar Chand and Praveen Agarwal
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Mehar Chand: Baba Farid College
Praveen Agarwal: Anand International College of Engineering

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 127-145 from Springer

Abstract: Abstract In the present chapter, we have generalized the truncated M-fractional derivative. This new differential operator denoted by i , p D M , k , α , β σ , γ , q , $${ }_{i,p}\mathscr {D}_{M, k, \alpha , \beta }^{\sigma , \gamma ,q},$$ where the parameter σ associated with the order of the derivative is such that 0

Keywords: Pochhammer symbol; Fractional calculus; Mittag-Leffler function; Heat equation; Fractional derivative; Fractional differential equations; 26A33; 33C45; 33C60; 33C70 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/978-3-030-84122-5_8

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