Theory and methods of piecewise defined fractional operators (to appear). (English) Zbl 07707416
Amsterdam: Elsevier/Morgan Kaufmann (ISBN 978-0-443-22156-9/pbk; 978-0-443-22155-2/ebook). (2026).
Found 17,276 Documents (Results 1–100)
Mathematical modeling of the coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives. (English) Zbl 07923050
Bayesian Inversion with Neural Operator (BINO) for modeling subdiffusion: forward and inverse problems. (English) Zbl 07901824
Euler wavelets method for optimal control problems of fractional integro-differential equations. (English) Zbl 07901811
On the approximation to fractional calculus operators with multivariate Mittag-Leffler function in the kernel. (English) Zbl 07901804
Reviewer: Zoltán Finta (Cluj-Napoca)
Approximate solution of multi-term fractional differential equations via a block-by-block method. (English) Zbl 07900340
Multiplicity and concentration properties for fractional Choquard equations with exponential growth. (English) Zbl 07931693
An existence and uniqueness of mild solutions of fractional evolution problems. (English) Zbl 07931040
Stochastic fractional integrodifferential equations with jumps: application to an averaging principle. (English) Zbl 07930825
Topological degree method for a new class of \(\varphi\)-Hilfer fractional differential Langevin equation. (English) Zbl 07930822
Numerical approximation for generalized fractional Volterra integro-differential equations via parabolic contour. (English) Zbl 07930297
Involvement of three successive fractional derivatives in a system of pantograph equations and studying the existence solution and MLU stability. (English) Zbl 07930197
Existence of solution of a nonlinear fractional dynamic equation with initial and boundary conditions on time scales. (English) Zbl 07928401
An iterative difference scheme for solving arbitrary order nonlinear Volterra integro-differential population growth model. (English) Zbl 07928399
Power means of random variables and characterizations of distributions via fractional calculus. (English) Zbl 07927167
Reviewer: Pavel Stoynov (Sofia)
New extensions of the Hermite-Hadamard inequalities based on \(\psi\)-Hilfer fractional integrals. (English) Zbl 07927146
Numerical approach of Cattaneo equation with time Caputo-Fabrizio fractional derivative. (English) Zbl 07926992
Some extensions of classes involving pair of weights related to the boundedness of multilinear commutators associated to generalized fractional integral operators. (English) Zbl 07926914
Embeddings and related topics in grand variable exponent Hajłasz-Morrey-Sobolev spaces. (English) Zbl 07926908
Development of a non-standard finite difference method for solving a fractional decay model. (English) Zbl 07926889
Theoretical study of a \(\varphi \)-Hilfer fractional differential system in Banach spaces. (English) Zbl 07926147
On fuzzy fractional Volterra-Fredholm model under the uncertainty \(\theta\)-operator of the AD technique: theorems and applications. (English) Zbl 07925502
Theoretical and numerical studies of fractional Volterra-Fredholm integro-differential equations in Banach space. (English) Zbl 07925493
On an initial value problem for time fractional pseudo-parabolic equation with Caputo derivative. (English) Zbl 07924844
Well-conditioned Galerkin spectral method for two-sided fractional diffusion equation with drift and fractional Laplacian. (English) Zbl 07924840
A mathematical analysis and simulation for Zika virus model with time fractional derivative. (English) Zbl 07924838
MSC:
26A33
Delayed analogue of three-parameter Mittag-Leffler functions and their applications to Caputo-type fractional time delay differential equations. (English) Zbl 07924832
Fractional differential equation pertaining to an integral operator involving incomplete \(H\)-function in the Kernel. (English) Zbl 07924827
On the solution of a boundary value problem associated with a fractional differential equation. (English) Zbl 07924825
A coupled system of Langevin differential equations of fractional order and associated to antiperiodic boundary conditions. (English) Zbl 07924822
Integro-differential equations linked to compound birth processes with infinitely divisible addends. (English) Zbl 07924811
A fractional model for propagation of classical optical solitons by using nonsingular derivative. (English) Zbl 07924802
Instantaneous blow-up for a fractional-in-time evolution equation arising in plasma theory. (English) Zbl 07924798
Invariants-preserving Du Fort-Frankel schemes and their analyses for nonlinear Schrödinger equations with wave operator. (English) Zbl 07924437
Hermite-Hadamard inequalities of conformable fractional integrals for strongly \(h\)-convex functions. (English) Zbl 07924387
The study of nonlinear fractional partial differential equations via the Khalouta-Atangana-Baleanu operator. (English) Zbl 07924366
A new efficient transform mechanism with convergence analysis of the space-fractional telegraph equations. (English) Zbl 07924358
Theoretical study of a class of \(\zeta \)-Caputo fractional differential equations in a Banach space. (English) Zbl 07924347
Solvability of Hadamard fractional differential equations on a half-line with logarithmic type initial data. (English) Zbl 07924017
Solvability and stability of multi-term fractional delay \(q\)-difference equation. (English) Zbl 07923999
Applications of generalized formable transform with \(\Psi\)-Hilfer-Prabhakar derivatives. (English) Zbl 07923795
Coupled problems driven by time and state-dependent maximal monotone operators. (English) Zbl 07923333
Riemann-Liouville fractional integrals and derivatives on Morrey spaces and applications to a Cauchy-type problem. (English) Zbl 07923033
Global existence and continuous dependence on parameters of conformable pseudo-parabolic inclusion. (English) Zbl 07923027
Existence and asymptotic behavior of mild solutions for fractional measure differential equations. (English) Zbl 07922827
On the spaces introduced by N. K. Karapetyants and B. S. Rubin, and their connection with Lorentz-Zygmund spaces. (English) Zbl 07922497
A novel hybrid variation iteration method and eigenvalues of fractional order singular eigenvalue problems. (English) Zbl 07922451
Approximate controllability of Atangana-Baleanu fractional stochastic differential systems with non-Gaussian process and impulses. (English) Zbl 07920717
Variational and error estimation for a frictionless contact problem in thermo-viscoelasticity with time fractional derivatives. (English) Zbl 07920278
A new \(\alpha\)-robust nonlinear numerical algorithm for the time fractional nonlinear KdV equation. (English) Zbl 07919829
Pointwise-in-time \(\alpha\)-robust error estimate of the ADI difference scheme for three-dimensional fractional subdiffusion equations with variable coefficients. (English) Zbl 07919825
Boundedness of fractional integrals on Hardy spaces associated with ball quasi-Banach function spaces. (English) Zbl 07919756
\(\mathcal{C}_\alpha\)-helices and \(\mathcal{C}_\alpha\)-slant helices in fractional differential geometry. (English) Zbl 07919187
On fractional quaternionic d-bar derivatives. (English) Zbl 07917935
Ruzhansky, Michael (ed.) et al., Extended abstracts MWCAPDE 2023. Methusalem workshop on classical analysis and partial differential equations. Selected papers, Ghent, Belgium, February 27 – March 1, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, 23-31 (2024).
Ulam-Hyers-Rassias Mittag-Leffler stability of \(\varpi\)-fractional partial differential equations. (English) Zbl 07917636
Existence of solution for some nonlinear \(g\)-Caputo fractional-order differential equations based on Wardowski-Mizoguchi-Takahashi contractions. (English) Zbl 07917632
Upper and lower solutions for an integral boundary problem with two different orders \((p, q)\)-fractional difference. (English) Zbl 07917631
Boundedness of commutators of variable Marcinkiewicz fractional integral operator in grand variable Herz spaces. (English) Zbl 07917620
Optimum solution of \((k, \gimel)\)-Hilfer FDEs by \(\mathcal{A}\)-condensing operators and the incorporated measure of noncompactness. (English) Zbl 07917606
An expanded analysis of local fractional integral inequalities via generalized \((s, P)\)-convexity. (English) Zbl 07917605
On the optimal controllability for a class of Katugampola fractional systems. (English) Zbl 07917603
Global existence and attractivity for Riemann-Liouville fractional semilinear evolution equations involving weakly singular integral inequalities. (English) Zbl 07917591
Bifurcation and chaos in a fractional-order Cournot duopoly game model on scale-free networks. (English) Zbl 07916730
How does the fractional derivative change the complexity of the Caputo standard fractional map. (English) Zbl 07916710
Existence theory for a Langevin fractional \(q\)-difference equations in Banach space. (English) Zbl 07916019
Approximation by linear means of Vilenkin-Fourier series in Stepanets spaces. (English) Zbl 07916002
High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term. (English) Zbl 07915983
Linearly implicit schemes preserve the maximum bound principle and energy dissipation for the time-fractional Allen-Cahn equation. (English) Zbl 07915964
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. (English) Zbl 07915944
Existence of solutions for generalized 2d fractional integral equations via Petryshyn’s fixed point theorem. (English) Zbl 07915545
Numerical solution of fractional pantograph equations via Müntz-Legendre polynomials. (English) Zbl 07915217
Continuous data assimilation for the 3D and higher-dimensional Navier-Stokes equations with higher-order fractional diffusion. (English) Zbl 07915183
Analysis of a WSGD scheme for backward fractional Feynman-Kac equation with nonsmooth data. (English) Zbl 07914908
The fractional logarithmic Schrödinger operator: properties and functional spaces. (English) Zbl 07914778
A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation. (English) Zbl 07914746
Boundedness criteria for linear and multilinear fractional integral operators in Lorentz spaces. (English) Zbl 07914223
An \(L_q(L_p)\)-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps. (English) Zbl 07914042
Higher order numerical approximations for non-linear time-fractional reaction-diffusion equations exhibiting weak initial singularity. (English) Zbl 07912598
From Lévy walks to fractional material derivative: pointwise representation and a numerical scheme. (English) Zbl 07912597
\(\mathrm{L}1\)-FEM discretizations for two-dimensional multiterm fractional delay diffusion equations. (English) Zbl 07912572
A novel multi-frame image super-resolution model based on regularized nonlinear diffusion with Caputo time fractional derivative. (English) Zbl 07912567
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