WELL-POSEDNESS OF TRICOMI–GELLERSTEDT–KELDYSH-TYPE FRACTIONAL ELLIPTIC PROBLEMS
Ruzhansky M. Torebek B.T. Turmetov B.
2022Rocky Mountain Mathematics Consortium
Journal of Integral Equations and Applications
2022#34Issue 3373 - 387 pp.
We study Tricomi–Gellerstedt–Keldysh-type fractional elliptic equations and obtain results on the wellposedness of fractional elliptic boundary value problems for general positive operators with discrete spectrum and for Fourier multipliers with positive symbols. As examples, we discuss results in halfcylinder, star-shaped graph, half-space and other domains.
Boundary value prob , Caputo derivative , Fractional elliptic equation , Kilbas–saigo function
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Al–Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Akhmet Yasawi University, Turkistan, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Al–Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
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