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Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives. (English) Zbl 1244.26018

Summary: We study a generalized nonlocal thermistor problem with fractional order Riemann-Liouville derivative. Making use of fixed-point theory, we obtain existence and uniqueness of a positive solution.

MSC:

26A33 Fractional derivatives and integrals
35B09 Positive solutions to PDEs
45M20 Positive solutions of integral equations
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