TY  - JOUR
T1  - Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu transform
AU  - Yağcı, Oğuz
AU  - Şahin, Recep
PY  - 2021
DA  - December
Y2  - 2021
DO  - 10.31801/cfsuasmas.797257
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 678
EP  - 689
VL  - 70
IS  - 2
LA  - en
AB  - Fractional kinetic equations (FKEs) comprising a large array of special functions have been extensively and successfully applied in specification and solving many significant problems of astrophysics and physics. In this present work, our aim is to demonstrate solutions of (FKEs) of the generalized Hurwitz-Lerch Zeta function by applying the Sumudu transform. In addition to these, solutions of (FKEs) in special conditions of generalised Hurwitz-Lerch Zeta function have been derived.
KW  - Hurwitz-Lerch Zeta function
KW  - generalized Hurwitz-Lerch Zeta function
KW  - fractional calculus
KW  - fractional kinetic equation
KW  - Mittag-Leffler function
KW  - Sumudu transform
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UR  - https://doi.org/10.31801/cfsuasmas.797257
L1  - https://dergipark.org.tr/en/download/article-file/1299304
ER  -