Found 973 Documents (Results 1–100)
Approximate controllability for semilinear fractional stochastic evolution equations. (English) Zbl 07931959
Existence of solution of a nonlinear fractional dynamic equation with initial and boundary conditions on time scales. (English) Zbl 07928401
Existence results for a nonlinear generalized Caputo fractional boundary value problem. (English) Zbl 07924388
An extensional conformable fractional derivative and its effects on solutions and dynamical properties of fractional partial differential equations. (English) Zbl 07924026
Qualitative study for a coupled system of differential equation on the real half-line. (English) Zbl 07923173
Well-posedness and simulation of weak solutions to the time-fractional Fokker-Planck equation with general forcing. (English) Zbl 07922041
An accurate numerical technique for solving fractional advection-diffusion equation with generalized Caputo derivative. (English) Zbl 07920850
Some results on proportional Caputo neutral fractional stochastic differential equations. (English) Zbl 07920741
Dynamic analysis of the fractional-order logistic equation with two different delays. (English) Zbl 07910916
Boundary value problems for nonlinear fractional differential equations with \(\Psi \)-Caputo fractional. (English) Zbl 07905395
Stability analysis of linear fractional neutral delay differential equations. (English) Zbl 07901432
Reviewer: Snezhana Hristova (Plovdiv)
Time fractional equations and anomalous sub-diffusions – in memory of Professor Shisong Mao. (English) Zbl 07901049
Normalized solution for fractional Choquard equation with potential and general nonlinearity. (English) Zbl 07893734
Delay induced Hopf bifurcation and its control in a fractional p53 protein oscillator model. (English) Zbl 07893208
Sparse wavelet Galerkin method: application for fractional pantograph problem. (English) Zbl 1542.65080
Exponential stability of non-instantaneous impulsive second-order fractional neutral stochastic differential equations with state-dependent delay. (English) Zbl 07890864
Existence results for nonlinear Hilfer pantograph fractional integrodifferential equations. (English) Zbl 07888030
Separation method of semifixed variables together with integral bifurcation method for solving generalized time-fractional thin-film equations. (English) Zbl 07872030
The existence and Hyers-Ulam stability of solution for an impulsive types Ambartsumian equation via \(\Xi\)-Hilfer generalized proportional fractional derivative. (English) Zbl 07867701
Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations. (English) Zbl 07867615
Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels. (English) Zbl 07859320
Existence and asymptotic behavior of square-mean \(S \)-asymptotically periodic solutions of fractional stochastic evolution equations. (English) Zbl 07856190
Langevin delayed equations with Prabhakar derivatives involving two generalized fractional distinct orders. (English) Zbl 07854327
Qualitative analysis of variable-order fractional differential equations with constant delay. (English) Zbl 1539.34087
On viscosity solutions of path-dependent Hamilton-Jacobi-Bellman-Isaacs equations for fractional-order systems. (English) Zbl 1542.35121
Well-posedness of fractional differential equations with finite delay in complex Banach spaces. (English) Zbl 1542.34059
A fractional-order equation and its finite difference scheme for approximating a delay equation. (English) Zbl 1540.35015
Gumel, Abba B. (ed.), Mathematical and computational modeling of phenomena arising in population biology and nonlinear oscillations. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 793, 141-166 (2024).
Value functional and optimal feedback control in linear-quadratic optimal control problem for fractional-order system. (English) Zbl 1537.49033
Reviewer: Wiesław Kotarski (Sosnowiec)
Stability analysis and existence criteria with numerical illustrations to fractional jerk differential system involving generalized Caputo derivative. (English) Zbl 1536.34008
Existence and stability behaviour of FSDE driven by Rosenblatt process with the application of visual perception of fish robot. (English) Zbl 1535.34073
On the averaging principle of Caputo type neutral fractional stochastic differential equations. (English) Zbl 07808434
Reviewer: Xuping Zhang (Lanzhou)
Existence and stability of Ulam-Hyers for neutral stochastic functional differential equations. (English) Zbl 07797004
Unified stochastic representation, well-posedness analysis, and regularity analysis for the equations modeling anomalous diffusions. (English) Zbl 1532.35495
Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in \(0<H<\frac{1}{2}\), and Poisson jumps. (English) Zbl 1530.34064
Stability and existence of solutions for a coupled system of fractional differential equations. (English) Zbl 07920409
On the dynamics of a fractional-order Riccati differential equation with perturbed delay. (English) Zbl 07893223
On the solutions of implicit arbitrary orders differential equations in Banach spaces. (English) Zbl 07893217
Existence result for fractional differential evolution equation in a Hilber space. (English) Zbl 07890986
Existence of solutions for semilinear fractional integro-differential equations with nonlocal conditions. (English) Zbl 07884511
Hybrid interpolative mappings for solving fractional Navier-Stokes and functional differential equations. (English) Zbl 07829902
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity. (English) Zbl 1534.34073
On the universality from interacting particle systems. (English) Zbl 1533.60177
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4326-4348 (2023).
Hilfer fractional neutral stochastic integro-differential evolution hemivariational inequalities and optimal controls. (English) Zbl 1536.37078
Numerical solution of the Black-Scholes partial differential equation for the option pricing model using the ADM-Kamal method. (English) Zbl 07814852
A new approach to solve weakly singular fractional-order delay integro-differential equations using operational matrices. (English) Zbl 07814801
On solution of non-instantaneous impulsive Hilfer fractional integro-differential evolution system. (English) Zbl 07811075
Existence, uniqueness, and finite-time stability of solutions for \(\Psi\)-Caputo fractional differential equations with time delay. (English) Zbl 07809632
Stability result for fractional fuzzy neutral integro-differential equations. (English) Zbl 1531.34065
SLeNN-ELM: a shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine. (English) Zbl 1531.65088
Well posedness of second-order non-instantaneous impulsive fractional neutral stochastic differential equations. (English) Zbl 1533.34062
Limit distributions for the discretization error of stochastic Volterra equations with fractional kernel. (English) Zbl 1538.60115
A novel numerical technique for solving time fractional nonlinear diffusion equations involving weak singularities. (English) Zbl 1532.65050
On the solution of \(\mathcal{T}\)-controllable abstract fractional differential equations with impulsive effects. (English) Zbl 1538.34307
Two-dimensional quaternionic fractional Mellin transform of a particular order. (English) Zbl 1538.44005
Existence of solutions for a nonlinear nonlocal hybrid functional fractional differential equation. (English) Zbl 1531.34073
A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic integro-differential system with infinite delay. (English) Zbl 1533.93064
On the qualitative evaluation of the variable-order coupled boundary value problems with a fractional delay. (English) Zbl 1532.34079
Bifurcation analysis of impulsive fractional-order Beddington-DeAngelis prey-predator model. (English) Zbl 1529.34044
Existence and global asymptotic behavior of \(S\)-asymptotically periodic solutions for fractional evolution equation with delay. (English) Zbl 1535.34063
Reviewer: Xuping Zhang (Lanzhou)
\(\psi\)-Caputo type time-delay Langevin equations with two general fractional orders. (English) Zbl 1534.34072
Reviewer: Snezhana Hristova (Plovdiv)
Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials. (English) Zbl 1529.35165
Asymptotic behaviour of time fractional stochastic delay evolution equations with tempered fractional noise. (English) Zbl 1523.34090
Naimark problem for a fractional ordinary differential equation. (English. Russian original) Zbl 07761815
Math. Notes 114, No. 2, 159-164 (2023); translation from Mat. Zametki 114, No. 2, 195-202 (2023).
Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion. (English) Zbl 1534.60070
A fast time-stepping method based on the \(hp\)-version spectral collocation method for the nonlinear fractional delay differential equation. (English) Zbl 1523.65066
Investigating the existence of solution for nonlinear Hadamard fractional functional integral equations via measure of noncompactness and its application. (English) Zbl 1526.45002
Mishra, Ratnesh Kumar (ed.) et al., Advances in pure and applied algebra. Proceedings of the CONIAPS XXVII international conference 2021. Berlin: De Gruyter. De Gruyter Proc. Math., 129-147 (2023).
Applications of differential transform and Bell polynomials to various types of differential equations. (English) Zbl 1522.65111
The Lambert function method in qualitative analysis of fractional delay differential equations. (English) Zbl 1522.34103
A binary Caputo-Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation. (English) Zbl 1523.35289
The Cauchy problem for the delay differential equation with Dzhrbashyan-Nersesyan fractional derivative. (Russian. English summary) Zbl 1538.34310
On the existence of a positive solution to a boundary value problem for one nonlinear functional-differential equation of fractional order. (Russian. English summary) Zbl 1538.34255
Theoretical studies on the existence and uniqueness of solutions for a multidimensional nonlinear time and space-fractional reaction-diffusion/wave equation. (English) Zbl 1523.35279
First- and second-order necessary optimality conditions for a control problem described by nonlinear fractional difference equations. (English. Russian original) Zbl 1521.93086
Autom. Remote Control 84, No. 3, 187-195 (2023); translation from Avtom. Telemekh. 2023, No. 2, 54-65 (2023).
On optimal positional strategies in fractional optimal control problems. (English) Zbl 1528.49017
Khachay, Michael (ed.) et al., Mathematical optimization theory and operations research. 22nd international conference, MOTOR 2023, Ekaterinburg, Russia, July 2–8, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13930, 255-265 (2023).
Travelling waves in nonlinear lattices. (English) Zbl 07729449
Dutta, Hemen (ed.), Mathematical modelling. Theory and application. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 787, 1-25 (2023).
Reviewer: Petr Stehlík (Plzeň)
Generalized monotone method for Caputo fractional integro differential equations with nonlinear boundary condition. (English) Zbl 1517.34107
Simultaneous identification of time-delay parameter and fractional order in nonlinear fractional delay differential equation. (English) Zbl 1522.34104
Existence results for functional perturbed differential equations of fractional order with state-dependent delay in Banach spaces. (English) Zbl 07720913
Existence and uniqueness of solutions of nonlinear fractional stochastic differential systems with nonlocal functional boundary conditions. (English) Zbl 1521.34005
Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic \(B\)-splines. (English) Zbl 1524.35684
Numerical solutions of the Bagley-Torvik equation by using generalized functions with fractional powers of Laguerre polynomials. (English) Zbl 07715013
Existence and uniqueness results for nonlocal problem with fractional integro-differential equation in Banach space. (English) Zbl 1538.34293
Direct and inverse problems for time-fractional heat equation generated by Dunkl operator. (English) Zbl 1518.35618
Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls. (English) Zbl 1519.49028
Reviewer: Alain Brillard (Riedisheim)
Collocation based approximations for a class of fractional boundary value problems. (English) Zbl 1514.65204
Existence of solutions for Caputo fractional delay differential equations with nonlocal and integral boundary conditions. (English) Zbl 1541.34100
Weighted pseudo asymptotically Bloch periodic solutions to nonlocal Cauchy problems of integrodifferential equations in Banach spaces. (English) Zbl 07702455
On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials. (English) Zbl 1522.35474
\(\alpha\)-confluent-hyper-geometric stability of \(\xi\)-Hilfer impulsive nonlinear fractional Volterra integro-differential equation. (English) Zbl 1512.34132
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