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math.AP2017★ 7 cited
Global Existence of Solutions for a Fractional Caputo Nonlocal Thermistor Problem
Moulay Rchid Sidi Ammi, Ismail Jamiai, Delfim F. M. Torres
We begin by proving a local existence result for a fractional Caputo nonlocal thermistor problem. Then, additional existence and continuation theorems are obtained, ensuring global…
math.AP2017★ 29 cited
Existence and uniqueness results for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary time scales
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
Using a fixed point theorem in a proper Banach space, we prove existence and uniqueness results of positive solutions for a fractional Riemann-Liouville nonlocal thermistor problem…