Progress in Fractional Differentiation & Applications

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The present research addresses, fractional type one-dimensional inverse heat conduction problem (FIHCP). This problem is devoted to calculating the temperature distribution in its range and the thermal flux on the bound, while the temperature is clear at some domain points. The new approach of homotopic perturbation method (NHPM) is employed to recover unknown functions and to obtain a solution for the problem. In the end, some appropriate examples are given for introducing and implementing the proposed approach in solving FIHCP.

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