Abstract
In this paper, we study a class of discrete fractional variational problems modeling some phenomena arising in electron transports in bipolymers like organic semi-conductors, molecular crystals and DNA. For some non-linearities covered by our class of functionals, the underlying PDEs model Ferro-Magnets and spin glasses. They also appear in the approximation of the Bose-Einstein condensation.
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Hajaiej, H. (2017). On a New Class of Variational Problems. In: Abualrub, T., Jarrah, A., Kallel, S., Sulieman, H. (eds) Mathematics Across Contemporary Sciences. AUS-ICMS 2015. Springer Proceedings in Mathematics & Statistics, vol 190. Springer, Cham. https://doi.org/10.1007/978-3-319-46310-0_6
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DOI: https://doi.org/10.1007/978-3-319-46310-0_6
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