Abstract
Subject of this paper is to compute the more generalized solution of fractional kinetic equations in terms of generalized Galue type Struve function. To solve this equation, the author used the Laplace transform. Some special cases are also discussed which shows that the concluded results are more accurate.
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References
Adjabi Y, Jarad F, Baleanu D et al (2016) On Cauchy problems with Caputo Hadamard fractional derivative. J Comput Anal Appl 21(4):661–681
Baleanu D, Moghaddam M, Mohammadi H et al (2016) Afractional derivative inclusion problem via an integral boundary condition. J Comput Anal Appl 21(3):504–514
Bariz A (2010) Generalized bessels function of first kind, lecture notes in mathematics 1994. Springer, Berlin
Bhowmick KN (1962) Some relation between generalized struve function and hypergeometric functions. Vijana Parishad Anusandhan Patrika 5:93–99
Bhowmick KN (1963) A generalized struve function and its recurrence formula. Vijana Parishad Anusandhan Patrika 6:1–11
Chaurasia VBL, Kumar D (2010) On the solution of generalized fractional kinetic equation. Adv Stud Theor Phy 4:773–780
Galue L (2003) A generalized bessels functions int transform spec function 14:395–401
Humbert P, Agarwal RP (1953) Sur la fonction de Mittag- Leffleretquelquesunes de ses generalization. Bull Sci Math SerII 77:180–185
Kanth BN (1981) Integrals involving generalized struve function. Nepali Math Sci Rep 6:61–64
Kilbas AA, Srivastava HM, Trujilo JJ (2006) Theory and application of fractional differential equation. North-Holland Mathematics Studies, Elsevier, Amsterdam, p 204
Kumar D, Purohit SD, Secer A, Atangana A (2015) On generalized fractional kinetic equations involving generalized Bessel function of the first kind. Math Probl Eng. https://doi.org/10.1155/2015/289387
Mittag-Leffler GM (1905) Sur la representation analytique d’ unefonctionmonogene (cinquieme note). Acta Math 29 (1):101–181. https://doi.org/10.1007/BFO2403200
Nisar KS, Baleanu D, Qurashi MM (2016) Fractional Calculus and application of generalized Struv function. Springer Plus, pp 1–13
Orhan H, Yagmur N (2013) Starlikeness and convexity of generalized Struve functions. AbstrAppl Anal
Orhan H, Yagmur N (2014) Geometric properties of generalized Struve functions. Ann Alexandru loan CuzaUniv-Math, 2478/aicu-2014-0007
Perdang J (1976) Lecturer notes in stellar stability parts I and II. Institutodiastronomia, Padova
Prabhakar TR (1971) A singular integral equation with generalized Mittag-Leffler function in the kernel. Yokohama Math J 19:7–15
Salim TO, Faraj AW (2012) A generalization of Mittag-Leffler function and integral operator associated with integral calculus. J Fract Appl 3(5):1–13
Singh RP (1974) Generalized Struve’s function and its recurrence relation. Ranchi Univ Math J 5:65–67
Singh RP (1985) Generalized Struve’s function and its recurrence equation. Vijnana Parishad Anusandhan Patrika 28:287–292
Singh RP (1988) Some integral representation of generalized Struve’s function. Math Ed Siwan 22:91–94
Singh RP (1988) On definite integral involving generalized Struve’s function. Math Ed Siwan 22:62–66
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Agarwal, G., Agnihotri, J. (2022). Solution of Fractional Kinetic Equations by using Generalized Galue Type Struve Function. In: Tripathi, A., Soni, A., Shrivastava, A., Swarnkar, A., Sahariya, J. (eds) Intelligent Computing Techniques for Smart Energy Systems. Lecture Notes in Electrical Engineering, vol 862. Springer, Singapore. https://doi.org/10.1007/978-981-19-0252-9_17
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DOI: https://doi.org/10.1007/978-981-19-0252-9_17
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