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Singular fractional evolution differential equations

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Central European Journal of Physics

Abstract

We give an existence-uniqueness result for linear and nonlinear time fractional evolution equations with singularities in corresponding norm in extended Colombeau algebra of generalized functions using fractional analog for Duhamel principle. Paper deals with some nonlinear models with singularities appearing in viscoelasticity and in anomalous processes which have met great interest among researchers who consider them as a challenge in recent years.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovica 4, 21 000, Novi Sad, Serbia

    Mirjana Stojanovic

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  1. Mirjana Stojanovic
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Correspondence to Mirjana Stojanovic.

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Stojanovic, M. Singular fractional evolution differential equations. centr.eur.j.phys. 11, 1337–1349 (2013). https://doi.org/10.2478/s11534-013-0260-y

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  • DOI: https://doi.org/10.2478/s11534-013-0260-y

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