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Existence of positive solution of a singular partial differential equation. (English) Zbl 1199.26027
Summary: Motivated by A. N. Vityuk and A. V. Golushkov [Nelinijni Kolyvannya 7, No. 3, 328–335 (2004; Zbl 1092.35500)], using the Schauder fixed point theorem and the contraction principle, we consider the existence and uniqueness of a positive solution to a singular partial fractional differential equation in a Banach space concerning with fractional derivative.
MSC:
26A33 Fractional derivatives and integrals
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
Citations:
Zbl 1092.35500
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