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An inverse problem for space and time fractional evolution equations with an involution perturbation

Bashir AhmadNAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaAhmed AlsaediNAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaMokhtar KiraneNAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia; LaSIE, Facult´e des Sciences et de Technologies, Universit´e de La Rochelle, A.M. Cŕepeau, 17042 La Rochelle, FranceRamiz TapdıgogluLaSIE, Facult´e des Sciences et de Technologies, Universit´e de La Rochelle, A.M. Cŕepeau, 17042 La Rochelle, France
2017en
ABI

Abstract

We consider an inverse problem for a space and time fractional evolution equation, interpolating the heat and wave equations, with an involution. Existence and uniqueness results for the given problem are obtained via the method of separation of variables.

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Cited by 110 references