Found 1,553 Documents (Results 1–100)
A fractional model for propagation of classical optical solitons by using nonsingular derivative. (English) Zbl 07924802
An extensional conformable fractional derivative and its effects on solutions and dynamical properties of fractional partial differential equations. (English) Zbl 07924026
Existence of solutions and periodic solutions of a neutral measure functional differential equation with infinite delay. (English) Zbl 07923699
Dynamics behaviours of kink solitons in conformable Kolmogorov-Petrovskii-Piskunov equation. (English) Zbl 07916588
On the Cauchy problem for nonlinear fractional systems with Lipschitzian matrices under the generalized metric spaces. (English) Zbl 07916584
On the number of limit cycles in piecewise smooth generalized Abel equations with many separation lines. (English) Zbl 07916221
The fundamental solution of the master equation for a jump-diffusion Ornstein-Uhlenbeck process. (English) Zbl 07914841
On solutions of a semilinear measure-driven evolution equation with nonlocal conditions on infinite interval. (English) Zbl 07914838
Statistical inference for a stochastic generalized logistic differential equation. (English) Zbl 07912557
Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative. (English) Zbl 07910616
Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations. (English) Zbl 07906394
On second-order linear Stieltjes differential equations with non-constant coefficients. (English) Zbl 07903475
Continuous generalized solution of the Hamilton-Jacobi equation with a noncoercive Hamiltonian. (English. Russian original) Zbl 07897422
J. Math. Sci., New York 283, No. 3, 487-494 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 186, 144-151 (2020).
\(\varPsi\)-Bielecki-type norm inequalities for a generalized Sturm-Liouville-Langevin differential equation involving \(\varPsi\)-Caputo fractional derivative. (English) Zbl 07897007
Existence and uniqueness of Zakharov-Kuznetsov-Burgers equation with Caputo-Fabrizio fractional derivative. (English) Zbl 1542.34015
A refinement of the Hille-Wintner comparison theorem and new nonoscillation criteria for half-linear differential equations. (English) Zbl 07891501
MSC:
34C10
Nonlinear dynamic wave characteristics of optical soliton solutions in ion-acoustic wave. (English) Zbl 07890884
A new approach to the series expansion of iterated Stratonovich stochastic integrals with respect to components of a multidimensional Wiener process. The case of arbitrary complete orthonormal systems in Hilbert space. (English) Zbl 1541.60035
Fuzzy neutral fractional integro-differential equation existence and stability results involving the Caputo fractional generalized Hukuhara derivative. (English) Zbl 07877767
Separation method of semifixed variables together with integral bifurcation method for solving generalized time-fractional thin-film equations. (English) Zbl 07872030
Identification of a time-dependent source term in a nonlocal problem for time fractional diffusion equation. (English) Zbl 1542.35441
A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation. (English) Zbl 1541.65006
Analysis of existence and stability results for fractional impulsive \(\mathfrak{J}\)-Hilfer Fredholm-Volterra models. (English) Zbl 1541.34014
Inverse source problem for subdiffusion equation with a generalized impedance boundary condition. (English) Zbl 07861397
On special solutions to the Ermakov-Painlevé XXV equation. (English) Zbl 07859064
Reviewer: Mykola Grygorenko (Kyïv)
An ultra-weak local discontinuous Galerkin method with generalized numerical fluxes for the KdV-Burgers-Kuramoto equation. (English) Zbl 1541.65103
Existence of basic solutions of first order linear homogeneous set-valued differential equations. (English) Zbl 1536.34005
Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. II. (English) Zbl 07837617
Reviewer: Tsvetana Stoyanova (Sofia)
The Liouville formula for the uncertain homogeneous linear system and explicit solutions of the system. (English) Zbl 1537.34025
Stability analysis and existence criteria with numerical illustrations to fractional jerk differential system involving generalized Caputo derivative. (English) Zbl 1536.34008
Minimization of the first positive Neumann-Dirichlet eigenvalue for the Camassa-Holm equation with indefinite potential. (English) Zbl 1539.34093
Reviewer: Andreas Fleige (Dortmund)
Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition. (English) Zbl 1533.34013
On analytic perturbations of linear equations in the case of incomplete generalized Jordan set. (English. Russian original) Zbl 07805794
J. Math. Sci., New York 278, No. 4, 633-646 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 1, 80-94 (2022).
Generalized chain rules and applications to Stieltjes differential and integral equations. (English) Zbl 07797049
Stochastic generalized Kolmogorov systems with small diffusion. I: Explicit approximations for invariant probability density function. (English) Zbl 1540.60135
A second-order difference scheme for the nonlinear time-fractional diffusion-wave equation with generalized memory kernel in the presence of time delay. (English) Zbl 07756736
Stability of some generalized fractional differential equations in the sense of Ulam-Hyers-Rassias. (English) Zbl 1541.34018
Solutions of a confluent modification of the general Heun equation in terms of generalized hypergeometric functions. (English) Zbl 07842910
Correct and coercive solvability conditions for a degenerate high order differential equation. (English) Zbl 07823363
MSC:
34-XX
The generalized Marchenko method in the inverse scattering problem for a first-order linear system with energy-dependent potentials. (English) Zbl 1530.34023
Generalized Green’s operator of the matrix integral-differential boundary value problem unsolved with respect to the derivative. (English. Ukrainian original) Zbl 1534.45003
J. Math. Sci., New York 276, No. 5, 603-613 (2023); translation from Ukr. Mat. Visn. 20, No. 3, 336-349 (2023).
A new proof of the expansion of iterated Itô stochastic integrals with respect to the components of a multidimensional Wiener process based on generalized multiple Fourier series and Hermite polynomials. (English) Zbl 1533.60078
Mean-square approximation of iterated Ito and Stratonovich stochastic integrals: method of generalized multiple Fourier series. Application to numerical integration of Ito SDEs and semilinear SPDEs. 3rd edition. (English) Zbl 1528.60002
Integral comparison criteria for nonoscillation of half-linear differential equations of the second order. (English) Zbl 1538.34133
MSC:
34C10
On the center problem for generalized Abel equations. (English) Zbl 1540.34069
Reviewer: Klaus R. Schneider (Berlin)
Existence and uniqueness of solutions of differential equations with respect to non-additive measures. (English) Zbl 1533.34005
Application of contraction mapping principle in periodic boundary value problems. (English) Zbl 1527.54042
The stochastic Leibniz formula for Volterra integrals under enlarged filtrations. (English) Zbl 1537.60064
A quantum analog model for a scalar particle interacting with a Kerr-de Sitter black hole. (English) Zbl 07765690
Extension and inflation of a thick-cylindrical tube made of isotropic compressible of Mooney-Rivlin materials: modeling and finite element simulations. (English) Zbl 1526.74007
Almost everywhere nonuniqueness of integral curves for divergence-free Sobolev vector fields. (English) Zbl 1525.35005
Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation. (English) Zbl 1538.65343
The logistic equation in the context of Stieltjes differential and integral equations. (English) Zbl 1538.34010
The exact solutions of the conformable time fractional version of the generalized Pochhammer-Chree equation. (English) Zbl 1520.35160
Generalized backward stochastic differential equations with jumps in a general filtration. (English) Zbl 1539.60069
On some properties of *-integral. (Russian. English summary) Zbl 1531.26006
Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations. (English) Zbl 1529.35439
Controllability conditions for Fredholm integrodifferential equations with degenerate kernel in Banach spaces. (English. Ukrainian original) Zbl 1522.45010
J. Math. Sci., New York 273, No. 2, 230-247 (2023); translation from Neliniĭni Kolyvannya 24, No. 4, 482-497 (2021).
Operator hypergeometric functions. (English. Russian original) Zbl 07712798
J. Math. Sci., New York 272, No. 5, 658-666 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 37-45 (2020).
Reviewer: Sergei V. Rogosin (Minsk)
Optimal system, similarity solution and Painlevé test on generalized modified Camassa-Holm equation. (English) Zbl 1518.35025
Stochastic Galerkin methods for time-dependent radiative transfer equations with uncertain coefficients. (English) Zbl 1516.65109
Solitary waves of singularly perturbed generalized KdV equation with high order nonlinearity. (English) Zbl 1512.35518
Addendum to: “A study of a Fuchsian system of rank 8 in 3 variables and the ordinary differential equations as its restrictions”. (English) Zbl 1530.33025
Solutions of fractional kinetic equation associated with the generalized multiindex Bessel function via Laplace transform. (English) Zbl 1530.34010
A spectral approach to non-linear weakly singular fractional integro-differential equations. (English) Zbl 1509.45002
Approximation of limit cycle of differential systems with variable coefficients. (English) Zbl 07675577
On a variant of multivariate Mittag-Leffler’s function arising in the Laplace transform method. (English) Zbl 1512.33019
Reviewer: Sergei V. Rogosin (Minsk)
Influence of dissipation on solitary wave solution to generalized Boussinesq equation. (English) Zbl 1510.35105
A study of a Fuchsian system of rank 8 in 3 variables and the ordinary differential equations as its restrictions. (English) Zbl 1529.33018
Osaka J. Math. 60, No. 1, 153-206 (2023); addendum ibid. 60, No. 2, 491-492 (2023).
A large deviation principle for the stochastic generalized Ginzburg-Landau equation driven by jump noise. (English) Zbl 1524.60136
Mathematical model with unrestricted dispersion and polynomial nonlinearity. (English) Zbl 1505.35327
Minimization of lowest positive periodic eigenvalue for the Camassa-Holm equation with indefinite potential. (English) Zbl 1518.34024
Reviewer: Smail Djebali (Riyadh)
A business-cycle model connecting heterogeneous micro investment behaviors with macro dynamics. (English) Zbl 1509.34048
On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem. (English) Zbl 1504.70013
On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data. (English) Zbl 1507.34050
The distributional solutions of Kummer’s differential equation. (English) Zbl 1518.46028
Reviewer: John Schmeelk (Henrico)
Chaos, coexisting attractors and chaos control in a nonlinear dissipative chemical oscillator. (English) Zbl 1540.34089
New Analytical exact solutions of time fractional (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equations. (English) Zbl 1542.34003
Saha Ray, Santanu (ed.) et al., Applied analysis, computation and mathematical modelling in engineering. Select proceedings of AACMME 2021, Rourkela, India, February 24–26, 2021. Singapore: Springer. Lect. Notes Electr. Eng. 897, 99-108 (2022).
Generalized solutions of the Riccati equation. (Russian. English summary) Zbl 07804509
MSC:
34M04
Global dynamics and bifurcation analysis of a fractional-order SEIR epidemic model with saturation incidence rate. (English) Zbl 1525.92068
Generalized \(\Big(\frac{G^\prime}{G}\Big)\)-expansion method for some soliton wave solutions of Burgers-like and potential KdV equations. (English) Zbl 1535.35160
Concept and solution of digital twin based on a Stieltjes differential equation. (English) Zbl 1527.34030
A fixed point theorem for \(p\)-contraction mappings in partially ordered metric spaces and application to ordinary differential equations. (English) Zbl 1527.47006
The continuous-time singular LQR problem and the riddle of nonautonomous Hamiltonian systems: a behavioral solution. (English) Zbl 1537.93346
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