TY - JOUR
T1 - Solutions of a class of n-th order ordinary and partial differential equations via fractional calculus
AU - Tu, Shih Tong
AU - Luo, Wen Chieh
AU - Chin, Erh Tsung
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1997/12
Y1 - 1997/12
N2 - Solutions of the n-th order linear ordinary differential equations (z + b)lΠn-1k=1(z+ak)φn + ∑nk=1φn-k{Cλk{Q(z)}k + Cλk-1{G(z)}k-1} = f (z ≠ -ak (k = 1,2,...,n - 1) z ≠-b; ai ≠ aj ≠ b i f i ≠ j; n > l, l ≥ 2) and the partial differential equations (z + b)lΠn-1k=1(z + ak) · ∂nμ/∂zn + ∑n-1k=1 ∂n-kμ/∂zn-k{Cλ k{Q(z)}k + Cλk-1{G(z)}k-1} +αμ(z,t) = M∂2μ/∂t2 + N∂μ/∂t (z ≠ -ak (k= 1,2,...,n-l) z ≠ -b; ai ≠ aj ≠ b i f i ≠ j; n > l, l ≥ 2) are discussed.
AB - Solutions of the n-th order linear ordinary differential equations (z + b)lΠn-1k=1(z+ak)φn + ∑nk=1φn-k{Cλk{Q(z)}k + Cλk-1{G(z)}k-1} = f (z ≠ -ak (k = 1,2,...,n - 1) z ≠-b; ai ≠ aj ≠ b i f i ≠ j; n > l, l ≥ 2) and the partial differential equations (z + b)lΠn-1k=1(z + ak) · ∂nμ/∂zn + ∑n-1k=1 ∂n-kμ/∂zn-k{Cλ k{Q(z)}k + Cλk-1{G(z)}k-1} +αμ(z,t) = M∂2μ/∂t2 + N∂μ/∂t (z ≠ -ak (k= 1,2,...,n-l) z ≠ -b; ai ≠ aj ≠ b i f i ≠ j; n > l, l ≥ 2) are discussed.
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U2 - 10.11650/twjm/1500406125
DO - 10.11650/twjm/1500406125
M3 - Article
AN - SCOPUS:0345941656
VL - 1
SP - 499
EP - 515
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
SN - 1027-5487
IS - 4
ER -