Iqbal M. Batiha1,2,*, Iqbal H. Jebril1, Mohammad Zuriqat3, Hamza S. Kanaan4, Shaher Momani5,*
Frontiers in Heat and Mass Transfer, Vol.21, pp. 487-504, 2023, DOI:10.32604/fhmt.2023.045021
Abstract Several researchers have dealt with the one-dimensional fractional heat conduction equation in the last decades,
but as far as we know, no one has investigated such a problem from the perspective of developing suitable fractionalorder methods. This has actually motivated us to address this problem by the way of establishing a proper fractional
approach that involves employing a combination of a novel fractional difference formula to approximate the Caputo
differentiator of order α coupled with the modified three-point fractional formula to approximate the Caputo
differentiator of order 2α, where 0 < α ≤ 1. As a result, the fractional heat… More >
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