Fractional calculus and the ESR test
From MaRDI portal
Publication:2335248
DOI10.3934/Math.2017.4.692zbMath1427.35313arXiv1701.07379OpenAlexW2580701339MaRDI QIDQ2335248
L. A. Magna, J. Vanterler da Costa Sousa, Edmundo Capelas de Oliveira
Publication date: 14 November 2019
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.07379
PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiological flows (76Z05) Physiological flow (92C35) Fractional partial differential equations (35R11)
Related Items (27)
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations ⋮ On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator ⋮ \(\psi\)-Hilfer pseudo-fractional operator: new results about fractional calculus ⋮ Stability results of positive solutions for a system of \(\psi \) -Hilfer fractional differential equations ⋮ Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space ⋮ The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator ⋮ Generalized derivatives and Laplace transform in (k,ψ)‐Hilfer form ⋮ On the stability of a hyperbolic fractional partial differential equation ⋮ On the \(\psi\)-Hilfer fractional derivative ⋮ Note on the solution of random differential equations via \(\psi\)-Hilfer fractional derivative ⋮ Validation of a fractional model for erythrocyte sedimentation rate ⋮ NEHARI MANIFOLD AND MULTIPLICITY RESULTS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN ⋮ Existence of mild solutions to Hilfer fractional evolution equations in Banach space ⋮ A nonlinear fractional problem with mixed Volterra-Fredholm integro-differential equation: existence, uniqueness, H-U-R stability, and regularity of solutions ⋮ Fractional Sobolev space with Riemann-Liouville fractional derivative and application to a fractional concave-convex problem ⋮ The \(\psi\)-Hilfer fractional calculus of variable order and its applications ⋮ A new approach to the validation of an ESR fractional model ⋮ Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation ⋮ Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation ⋮ Faedo-Galerkin approximation of mild solutions of fractional functional differential equations ⋮ Grüss-type inequalities by means of generalized fractional integrals ⋮ Existence and Ulam-Hyers stability results of a coupled system of \(\psi\)-Hilfer sequential fractional differential equations ⋮ Pseudo-fractional differential equations and generalized \(g\)-Laplace transform ⋮ On the \(\Psi \)-fractional integral and applications ⋮ ESR fractional model with non-zero uniform average blood velocity ⋮ Existence results and continuity dependence of solutions for fractional equations ⋮ ON THE NONLINEAR IMPULSIVE Ψ–HILFER FRACTIONAL DIFFERENTIAL EQUATIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The Wright functions as solutions of the time-fractional diffusion equation.
- Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions
- An extension of Wright function and its properties
- On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Mittag-Leffler Functions, Related Topics and Applications
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Fractional calculus and the ESR test