Journal
ADVANCES IN NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS
Volume 559, Issue -, Pages 268-281Publisher
SPRINGER-VERLAG SINGAPORE PTE LTD
DOI: 10.1007/978-3-030-17344-9_20
Keywords
Fractional calculus; Caputo derivative; Harmonic impact; Mittag-Leffler function
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The time-fractional heat conduction equation with heat absorption is considered in a half-line domain under the mathematical and physical Neumann boundary conditions varying harmonically in time. The Caputo derivative is employed. The Laplace transform with respect to time and the cos-Fourier transform with respect to the spatial coordinate are used. The solutions are obtained in terms of integrals with integrands being the Mittag-Leffler functions. The numerical results are illustrated graphically.
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