Found 1,066 Documents (Results 1–100)
Applications of generalized formable transform with \(\Psi\)-Hilfer-Prabhakar derivatives. (English) Zbl 07923795
High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term. (English) Zbl 07915983
Correction of a high-order numerical method for approximating time-fractional wave equation. (English) Zbl 07909819
Solutions of hyperbolic system of time fractional partial differential equations for heat propagation. (English) Zbl 07907433
Modified special functions: properties, integral transforms and applications to fractional differential equations. (English) Zbl 07905368
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation. (English) Zbl 1543.35152
Fractional integral transforms. Theory and applications. (English) Zbl 07875838
Boca Raton, FL: CRC Press (ISBN 978-0-367-54387-7/hbk; 978-1-003-08935-3/ebook). (2024).
Unraveling forward and backward source problems for a nonlocal integrodifferential equation: a journey through operational calculus for Dzherbashian-Nersesian operator. (English) Zbl 07869432
Integral operators and fractional integrals on Cesáro-Morrey function spaces. (English) Zbl 07869151
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors. (English. Russian original) Zbl 07864592
Theor. Math. Phys. 219, No. 2, 839-855 (2024); translation from Teor. Mat. Fiz. 219, No. 2, 352-371 (2024).
Representations of abstract resolvent families on time scales via Laplace transform. (English) Zbl 1537.34092
Abstract algebraic construction in fractional calculus: parametrised families with semigroup properties. (English) Zbl 1541.26022
Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time. (English) Zbl 1531.65190
Strong \(1.5\) order scheme for fractional Langevin equation based on spectral approximation of white noise. (English) Zbl 07785653
Analytical solutions of higher-dimensional coupled system of nonlinear time-fractional diffusion-convection-wave equations. arXiv:2406.10657
Preprint, arXiv:2406.10657 [math.AP] (2024).
On Bivariate Jacobi Konhauser Polynomials. arXiv:2405.15043
Preprint, arXiv:2405.15043 [math.CA] (2024).
On Fractional Kinetic Equations Involving Srivastava Polynomial. arXiv:2403.20048
Preprint, arXiv:2403.20048 [math-ph] (2024).
Some multi-dimensional modified G- and H-integral transforms on \(\mathfrak{L}_{\overline{\nu}, \overline{r}}\)-spaces. (English) Zbl 07923372
Vasilyev, Vladimir (ed.), Differential equations, mathematical modeling and computational algorithms. DEMMCA 2021, Belgorod, Russia, October 25–29, 2021. Cham: Springer. Springer Proc. Math. Stat. 423, 193-214 (2023).
Fractional reaction-diffusion model: an efficient computational technique for nonlinear time-fractional Schnakenberg model. (English) Zbl 07907679
Singh, Jagdev (ed.) et al., Advances in mathematical modelling, applied analysis and computation. Proceedings of the fourth conference, ICMMAAC 2021, JECRC University, Jaipur, India, August 5–7, 2021. Singapore: Springer. Lect. Notes Netw. Syst. 415, 427-454 (2023).
Solving nonlinear fractional PDEs with applications to physics and engineering using the Laplace residual power series method. (English) Zbl 07905668
Computing the \(\mathcal{H}_2\)-norm of a fractional-order system using the state-space linear model. (English) Zbl 07891027
On some new inequalities and fractional kinetic equations associated with extended Gauss hypergeometric and confluent hypergeometric function. (English) Zbl 1540.33004
Some properties of bivariate Mittag-Leffler function. (English) Zbl 1534.33022
Reviewer: Sergei V. Rogosin (Minsk)
Multi-dimensional integral transforms with the Fox \(H \)-function and the Legendre function of first kind in kernels on \(\mathfrak{L}_{\overline{\nu},\overline{r}} \)-spaces. (English) Zbl 1542.44006
A new fractional derivative operator and its application to diffusion equation. (English) Zbl 1541.26029
Unsteady free convective magnetohydrodynamics flow of a Casson fluid through a channel with double diffusion and ramp temperature and concentration. (English) Zbl 1531.35264
The contour integral method for Feynman-Kac equation with two internal states. (English) Zbl 1538.44002
Generalized derivatives and Laplace transform in \((k, \psi)\)-Hilfer form. (English) Zbl 1541.44002
On Laplace transforms with respect to functions and their applications to fractional differential equations. (English) Zbl 1541.44004
Discrete generalized fractional operators defined using h-discrete Mittag-Leffler kernels and applications to AB fractional difference systems. (English) Zbl 1539.39002
Heat-conduction in a semi-infinite fractal bar using advanced Yang-Fourier transforms. (English) Zbl 1535.80003
Generalized UH-stability of a nonlinear fractional coupling \((p_1,p_2)\)-Laplacian system concerned with nonsingular Atangana-Baleanu fractional calculus. (English) Zbl 1532.34021
New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function. (English) Zbl 1541.26023
A study of distributed-order time fractional diffusion models with continuous distribution weight functions. (English) Zbl 1536.65092
A heat transfer problem with exponential memory and the associated thermal stresses. (English) Zbl 1531.65207
A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators. (English) Zbl 1532.26042
On the new fractional operators generating modified gamma and beta functions. (English) Zbl 07777185
Bivariate \(k\)-Mittag-Leffler functions with 2D-\(k\)-Laguerre-Konhauser polynomials and corresponding \(k\)-fractional operators. (English) Zbl 1538.33012
A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems. (English) Zbl 1538.44001
A new weighted fractional operator with respect to another function via a new modified generalized Mittag-Leffler law. (English) Zbl 1541.26030
Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for heterogeneous sub-diffusion and diffusion-wave equations. (English) Zbl 1538.65265
On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation. (English) Zbl 1538.65262
A fuzzy solution of fractional differential equations by fuzzy conformable Laplace transforms. (English) Zbl 1538.34011
Dissipative and generative fractional \(RLC\) circuits in the transient regime. (English) Zbl 07748280
Approximation results for Hadamard-type exponential sampling Kantorovich series. (English) Zbl 1533.41014
Reviewer: Hüseyin Çakallı (İstanbul)
Exact solutions of fractional order oscillation equation with two fractional derivative terms. (English) Zbl 1519.34003
Analytical and numerical analysis of damped harmonic oscillator model with nonlocal operators. (English) Zbl 1521.34007
Riesz transform associated with the fractional Fourier transform and applications in image edge detection. (English) Zbl 1518.42009
Generalized Laplace transform and tempered \(\Psi\)-Caputo fractional derivative. (English) Zbl 1526.44001
Modification of optimal homotopy asymptotic method for multi-dimensional time-fractional model of Navier-Stokes equation. (English) Zbl 1521.35135
Some results on the \({}_p R_q (\lambda,\mu; z)\) function involving pathway fractional integral operator and statistical distribution. (English) Zbl 1524.33066
An operational calculus approach to Hilfer-Prabhakar fractional derivatives. (English) Zbl 1517.44003
Reviewer: Peter Massopust (München)
Time-fractional integro-differential equations in power growth function spaces. (English) Zbl 1511.45009
Applications of Caputo operators in the evaluation of Clebsch-Gordan-type multiple elliptic integrals. (English) Zbl 1530.33014
Exact solutions and Hyers-Ulam stability of fractional equations with double delays. (English) Zbl 1509.34079
Time discretization and convergence to superdiffusion equations via Poisson distribution. (English) Zbl 1520.65065
Reviewer: Abdallah Bradji (Annaba)
On a variant of multivariate Mittag-Leffler’s function arising in the Laplace transform method. (English) Zbl 1512.33019
Reviewer: Sergei V. Rogosin (Minsk)
\(q\)-deformed conformable fractional natural transform. (English) Zbl 1520.44004
Ukr. Math. J. 74, No. 8, 1287-1307 (2023) and Ukr. Mat. Zh. 74, No. 8, 1128-1145 (2022).
Applications of Laplace transform method to the fractional linear integro differential equations. (English) Zbl 1538.45012
Mikusiński’s operational calculus for general conjugated fractional derivatives. (English) Zbl 1525.26004
Differential equations with fractional derivatives with fixed memory length. (English) Zbl 1541.34015
An ADI orthogonal spline collocation method for a new two-dimensional distributed-order fractional integro-differential equation. (English) Zbl 1524.65402
A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel. (English) Zbl 1508.65140
Reviewer: Dana Černá (Liberec)
Symmetrical Sonin kernels in terms of the hypergeometric functions. arXiv:2401.00558
Preprint, arXiv:2401.00558 [math.CA] (2023).
Solutions for time-fractional coupled nonlinear Schrödinger equations arising in optical solitons. (English) Zbl 07851679
Fractional weighted spherical mean and maximal inequality for the weighted spherical mean and its application to singular PDE. (English) Zbl 1532.35329
A new approach for the generalized fractional Casson fluid model with Newtonian heating described by the modified Riemann-Liouville fractional operator. (English) Zbl 1529.35407
European option pricing models described by fractional operators with classical and generalized Mittag-Leffler kernels. (English) Zbl 1535.91036
Dual fractional modeling of rate type fluid through non-local differentiation. (English) Zbl 1535.35141
MSC:
35Q35
76A10
76S05
76W05
74F10
74D10
74K20
44A10
44A15
42A38
35A09
35A22
62M05
62M07
26A33
35R11
A new semi-analytic solution of fractional sixth order Drinfeld-Sokolov-Satsuma-Hirota equation. (English) Zbl 1535.65246
Fractional differential equations associated with generalized fractional operators in \(F_{p,\nu}\) space. (English) Zbl 1538.34018
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