Analytic normalized solutions of 2D fractional Saint-Venant equations of a complex variable

DOI10.1155/2021/4797955zbMath1475.35381OpenAlexW3198983060MaRDI QIDQ2236404

Najla M. Alarifi, Rabha W. Ibrahim

Publication date: 22 October 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/4797955

zbMATH Keywords

Prabhakar operatorfractional calculus of a complex variable

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Cites Work

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• Hilfer-Prabhakar derivatives and some applications
• On generalized Srivastava-Owa fractional operators in the unit disk
• Boundary fractional differential equation in a complex domain
• On discrete time Prabhakar-generalized fractional Poisson processes and related stochastic dynamics
• Controlled homeodynamic concept using a conformable calculus in artificial biological systems
• Prabhakar-like fractional viscoelasticity
• The Prabhakar or three parameter Mittag-Leffler function: theory and application
• The Fox-Wright function near the singularity and the branch cut
• New numerical algorithm to solve variable-order fractional integrodifferential equations in the sense of Hilfer-Prabhakar derivative
• A novel double integral transform and its applications
• Generalized mittag-leffler function and generalized fractional calculus operators
• Basic Theory
• Solvability of fractional dynamic systems utilizing measure of noncompactness
• Stability of fractional-order systems with Prabhakar derivatives

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