Lee, Dongsun; Kim, Hyunju The time-fractional Allen-Cahn equation on geometric computational domains. (English) Zbl 07973464 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108455, 21 p. (2025). MSC: 65Mxx 65Nxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Vanterler da C. Sousa, J.; Hamza, El-Houari; Elhoussain, Arhrrabi A singular generalized Kirchhoff-double-phase problem with \(p\)-Laplacian operator. (English) Zbl 07972492 J. Fixed Point Theory Appl. 27, No. 1, Paper No. 2, 34 p. (2025). MSC: 35J60 32C05 35J50 35J67 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Sathiyaraj, T.; Balasubramaniam, P.; Ratnavelu, K. Controllability of non-instantaneous impulsive large-scale neutral fractional stochastic systems with Poisson jumps. (English) Zbl 07971745 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 37, 29 p. (2025). MSC: 93B05 26A33 93E03 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Serrai, Hacen; Tellab, Brahim A generalized contraction mapping applied for existence results for ordinary hybrid version of a generalized Sturm-Liouville-Langevin equations under \(\Psi \)-Hilfer fractional-order derivative. (English) Zbl 07971731 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 23, 20 p. (2025). MSC: 26A33 34A08 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Cinque, Fabrizio; Orsingher, Enzo General Airy-type equations, heat-type equations and pseudo-processes. (English) Zbl 07971654 J. Evol. Equ. 25, No. 1, Paper No. 17, 28 p. (2025). MSC: 35C15 33C10 26A33 34A08 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Lintao; Yang, Haidong Local uniqueness of constraint minimizers for double nonlocal functional. (English) Zbl 07971498 J. Differ. Equations 420, 180-222 (2025). MSC: 35J62 35R11 35A02 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical approximation for stochastic nonlinear fractional diffusion equation driven by rough noise. (English) Zbl 07971372 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 389-418 (2025). MSC: 65M60 65M15 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mahata, Shantiram; Nataraj, Neela; Raymond, Jean-Pierre Lowest-order nonstandard finite element methods for time-fractional biharmonic problem. (English) Zbl 07971361 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 43-71 (2025). MSC: 65-XX 35R11 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Serna-Reyes, Adán J.; Macías, Siegfried; Gallegos, Armando; Macías-Díaz, Jorge E. A convergent two-step method to solve a fractional extension of the Rosenau-Kawahara system. (English) Zbl 07968727 J. Comput. Appl. Math. 460, Article ID 116424, 17 p. (2025). MSC: 65M06 35Q53 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Zhijun; Zeng, Yunhua Temporal second-order two-grid finite element method for semilinear time-fractional Rayleigh-Stokes equations. (English) Zbl 07968686 J. Comput. Appl. Math. 459, Article ID 116375, 17 p. (2025). MSC: 65Mxx 35Rxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Hu, Hanzhang Two-grid finite element methods for space-fractional nonlinear Schrödinger equations. (English) Zbl 07968681 J. Comput. Appl. Math. 459, Article ID 116370, 14 p. (2025). MSC: 65Mxx 35Qxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Carreño-Diaz, J. F.; Kaikina, E. I. Neumann problem for fractional Ginzburg-Landau equation on an upper-right quarter plane. (Neumann problem for fractional Ginzburg-Landau equation on a upper-right quarter plane.) (English) Zbl 07968320 J. Differ. Equations 418, 258-304 (2025). MSC: 35Q56 26A33 35R11 35B65 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hao; Zaky, Mahmoud A.; Zheng, Xiangcheng; Hendy, Ahmed S.; Qiu, Wenlin Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. (English) Zbl 07968261 Numer. Algorithms 98, No. 2, 677-718 (2025). MSC: 65-XX 35R11 45K05 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Trapasso, S. Ivan Phase space analysis of spectral multipliers for the twisted Laplacian. (English) Zbl 07968212 Trans. Am. Math. Soc. 378, No. 2, 967-999 (2025). MSC: 42B15 35J70 35K05 35L05 42B35 35S05 35Q40 35R11 35A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lei, Jun; Chen, Chunliu; Wang, Yue Asymptotic behaviors of normalized ground states for fractional Schrödinger equations. (English) Zbl 07967967 Arch. Math. 124, No. 1, 109-120 (2025). MSC: 35J61 35R11 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jian-Ping; Zhou, Hua-Cheng Infinite horizon linear quadratic optimal control problems for singular Volterra integral equations. (English) Zbl 07966983 SIAM J. Control Optim. 63, No. 1, 57-85 (2025). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45D05 45F15 45G05 49N10 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Verma, Pratibha; Tiwari, Surabhi Solution of a time-space tempered fractional diffusion-wave equation and its theoretical aspects. (English) Zbl 07965921 Acta Math. Appl. Sin., Engl. Ser. 41, No. 1, 1-26 (2025). MSC: 47H10 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Yu; Shi, Hongxia; Yang, Jie Existence and mass collapse of standing waves for equation with general potential and nonlinearities. (English) Zbl 07965219 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 25, 18 p. (2025). MSC: 47G20 35R11 35A15 46E30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Mainini, Edoardo; Ognibene, Roberto; Volzone, Bruno Local multiplicity for fractional linear equations with Hardy potentials. (English) Zbl 07962874 Calc. Var. Partial Differ. Equ. 64, No. 2, Paper No. 51, 20 p. (2025). MSC: 35R11 35B40 35J10 35J75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oulmelk, Abdessamad; Srati, Mohammed; Afraites, Lekbir; Hadri, Aissam Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation. (English) Zbl 07962671 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 15-42 (2025). MSC: 49N45 65M06 49N45 34K37 49J20 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Ting; Shang, Yan-Ying Multiple solutions for the logarithmic fractional Kirchhoff equation with critical or supercritical nonlinearity. (English) Zbl 07962392 Complex Var. Elliptic Equ. 70, No. 1, 115-136 (2025). MSC: 35J60 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Anthal, G. C.; Giacomoni, J.; Sreenadh, K. Mixed local and nonlocal elliptic equation with singular and critical Choquard nonlinearity. (English) Zbl 07962388 Complex Var. Elliptic Equ. 70, No. 1, 30-68 (2025). MSC: 35J05 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Weiran; Wang, Li Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation. (English) Zbl 07962050 Math. Comput. 94, No. 352, 681-725 (2025). MSC: 65M70 65T50 65N35 65M12 65M15 41A50 35B40 26A33 35R11 82C40 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Imanuvilov, Oleg; Ito, Kazufumi; Yamamoto, Masahiro Inverse coefficient problems for one-dimensional time-fractional diffusion equations. (English) Zbl 07961491 Appl. Math. Lett. 160, Article ID 109351, 4 p. (2025). MSC: 35R30 35R11 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Jianxiong; Xu, Wenhao Adaptive-coefficient finite difference frequency domain method for time fractional diffusive-viscous wave equation arising in geophysics. (English) Zbl 07961477 Appl. Math. Lett. 160, Article ID 109337, 7 p. (2025). MSC: 65M06 65N06 86A15 76S05 35L05 26A33 35R11 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI
Kopteva, Natalia Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations. (English) Zbl 07961446 Appl. Math. Lett. 160, Article ID 109306, 5 p. (2025). MSC: 65M06 65M12 65M15 26A33 35R11 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Zhongyuan; Zhang, Wei; Ni, Jinbo Variational approach to mixed boundary value problems of fractional Sturm-Liouville differential equations with instantaneous and non-instantaneous impulses. (English) Zbl 07960343 J. Appl. Anal. Comput. 15, No. 2, 1113-1133 (2025). MSC: 34A08 34B08 34B15 34B37 × Cite Format Result Cite Review PDF Full Text: DOI
Nasir, Muhammad; Yang, Shuobing; Alqudah, Mohammad; Mahnashi, Ali M.; Shah, Rasool Approximate solution of fractional-order Fitzhugh-Nagumo equation with in natural transform. (English) Zbl 07960318 J. Appl. Anal. Comput. 15, No. 2, 624-639 (2025). MSC: 33B15 34A34 35A20 35A22 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Jian; Wang, Meng; Yuan, Wangjun On a class of stochastic fractional heat equations. (English) Zbl 07959349 Proc. Am. Math. Soc. 153, No. 1, 341-356 (2025). MSC: 35R11 35K15 35R60 60H15 60G60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feitosa, Everson F. S.; Vanterler da C. Sousa, J.; Moreira, S. I.; Costa, Gustavo S. A. Existence and multiplicity for fractional differential equations with \(m(\xi)\)-Kirchhoff type-equation. (English) Zbl 07959235 Comput. Appl. Math. 44, No. 1, Paper No. 19, 24 p. (2025). MSC: 35R11 35J55 35J65 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Kartal, Senol A discrete fractional order Cournot duopoly game model with relative profit delegation: stability, bifurcation, chaos, 0-1 testing and control. (English) Zbl 07958821 J. Comput. Appl. Math. 457, Article ID 116284, 15 p. (2025). MSC: 37N40 34A08 34C23 39A28 26A33 39A33 91A50 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Weiwei; Li, Xiao; Liang, Xing Time-periodic traveling waves and propagating terraces for multistable equations with a fractional Laplacian: an abstract dynamical systems approach. (English) Zbl 07955713 J. Funct. Anal. 288, No. 2, Article ID 110711, 50 p. (2025). MSC: 35K57 35C07 35R11 35B10 37C65 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Chu-hee; Shiraki, Shobu Dimension of divergence sets of oscillatory integrals with concave phase. (English) Zbl 07955042 J. Geom. Anal. 35, No. 1, Paper No. 21, 18 p. (2025). MSC: 35Q41 35Q55 26A33 35R11 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Sitao; Liu, Lin; Ge, Zhixia; Liu, Yu; Feng, Libo; Wang, Jihong Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions. (English) Zbl 07954724 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108407, 17 p. (2025). MSC: 65M06 65N06 65M12 65T50 44A10 26A33 35R11 81Q05 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Chao; Liang, Yong; Zou, Min; Lei, Tong; Liu, Mingwei The control for multiple kinds of solitons generated in the nonlinear fractional Schrödinger optical system based on Hermite-Gaussian beams. (English) Zbl 07954693 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108375, 19 p. (2025). MSC: 35Q55 35Q60 78A60 26A33 35R11 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ziheng; Zhang, Danni Sign-changing solutions for a class of fractional Choquard equation with the Sobolev critical exponent in \(\mathbb{R}^3\). (English) Zbl 07954254 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128951, 34 p. (2025). MSC: 35J61 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Shuibo; Hajaiej, Hichem Lazer-McKenna type problem involving mixed local and nonlocal elliptic operators. (English) Zbl 07951787 NoDEA, Nonlinear Differ. Equ. Appl. 32, No. 1, Paper No. 6, 45 p. (2025). MSC: 35R11 35J61 35J75 × Cite Format Result Cite Review PDF Full Text: DOI
Bronzi, Anne; Guimarães, Ricardo; Mondaini, Cecilia On the locally self-similar blowup for the generalized SQG equation. (English) Zbl 07950081 J. Differ. Equations 415, 266-302 (2025). Reviewer: Zhuan Ye (Xuzhou) MSC: 35C06 35B44 35Q35 35R11 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Majid, Sheikh Zain; Asjad, Muhammad Imran; Kumar, Sachin; Muhammad, Taseer Dynamical study with exact travelling waves with high amplitude solitons to clannish random walker’s parabolic equation. (English) Zbl 07950020 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 14, 23 p. (2025). MSC: 35C07 35C08 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Bezerra, Flank; Santos, Lucas; Silva, Maria; Takaessu, Carlos jun. Spectral analysis and exponential stability of a generalized fractional Moore-Gibson-Thompson equation. (English) Zbl 07948470 Discrete Contin. Dyn. Syst., Ser. B 30, No. 2, 496-508 (2025). MSC: 35R11 35B40 47A08 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Moy, Julien \(C^{1, \alpha}\) regularity of hypersurfaces of bounded nonlocal mean curvature in Riemannian manifolds. (English) Zbl 07947611 Calc. Var. Partial Differ. Equ. 64, No. 1, Paper No. 9, 36 p. (2025). MSC: 53C40 35R11 58J35 45H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Minhyun; Lee, Ki-Ahm; Lee, Se-Chan Wolff potential estimates and Wiener criterion for nonlocal equations with Orlicz growth. (English) Zbl 07945292 J. Funct. Anal. 288, No. 1, Article ID 110690, 51 p. (2025). MSC: 31C45 31B25 31B15 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fonseca, Germán; Riaño, Oscar; Rodriguez-Blanco, Guillermo On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces. (English) Zbl 07943127 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 250, Article ID 113653, 18 p. (2025). MSC: 35R11 35B05 35B60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bendahou, Imene; Khemiri, Zied; Mahmoudi, Fethi Nonlocal Hénon type problem with nonlinearities involving slightly subcritical growth. (English) Zbl 07941670 J. Differ. Equations 414, 682-721 (2025). MSC: 35R11 35A15 35A16 35B40 35J25 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Soares, C. A. jun.; Costa, F. S.; Sousa, J. Vanterler C. Infinitesimal prolongation for fractional derivative \(\varPsi\)-Caputo variable order and applications. (English) Zbl 07941263 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 3, 29 p. (2025). MSC: 35R11 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Mukherjee, Arka; Tiwari, Sweta On positive solutions of the nonlocal Yamabe type equation in compact Riemannian manifold. (English) Zbl 07941001 J. Math. Anal. Appl. 542, No. 2, Article ID 128808, 28 p. (2025). MSC: 35R11 35B33 35J92 35R01 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xindong; Feng, Yuelong; Luo, Ziyang; Liu, Juan A spatial sixth-order numerical scheme for solving fractional partial differential equation. (English) Zbl 07927817 Appl. Math. Lett. 159, Article ID 109265, 7 p. (2025). MSC: 65M06 65N06 65M12 65M15 65T50 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Bayrak, Mine Aylin; Demir, Ali; Büyük, Ahmet A novel analytical method for time fractional convection-diffusion equation through clique polynomials of the cocktail party graph. (English) Zbl 07925063 J. Appl. Anal. Comput. 15, No. 1, 564-573 (2025). MSC: 35R11 35K20 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Panpan; Feng, Xiufang; He, Shangqin Lie symmetry reduction for \((2+1)\)-dimensional fractional Schrödinger equation. (English) Zbl 07925060 J. Appl. Anal. Comput. 15, No. 1, 502-516 (2025). Reviewer: Takao Imai (Chiba) MSC: 22E60 34K37 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, R. P.; Azroul, E.; Kamali, N.; Shimi, M. On a class of \(p(x, \cdot )\)-integro-differential Kirchhoff-type problem with singular kernel. (English) Zbl 07925052 J. Appl. Anal. Comput. 15, No. 1, 333-353 (2025). MSC: 35R11 35A15 35J92 45K05 47G20 45H05 × Cite Format Result Cite Review PDF Full Text: DOI
El Allaoui, Abdelati; Mbarki, Lamine; Allaoui, Youssef; Vanterler da C. Sousa, J. Solvability of Langevin fractional differential equation of higher-order with integral boundary conditions. (English) Zbl 1547.34008 J. Appl. Anal. Comput. 15, No. 1, 316-332 (2025). MSC: 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Alkhal, Rana; Kratou, Mouna; Saoudi, Kamel Combined effects of singular and Hardy nonlinearities in fractional Kirchhoff Choquard equation. (English) Zbl 07925042 J. Appl. Anal. Comput. 15, No. 1, 76-109 (2025). MSC: 35J62 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Huanmin; Jiang, Weihua; Li, Gongyu Solvability of Hilfer fractional differential equations with integral boundary conditions at resonance in \(\mathbb{R}^m\). (English) Zbl 1547.34022 J. Appl. Anal. Comput. 15, No. 1, 39-55 (2025). MSC: 34A08 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Abboubakar, Hamadjam; Racke, Reinhard Mathematical modeling of the coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives. (English) Zbl 07923050 Discrete Contin. Dyn. Syst., Ser. B 30, No. 1, 289-329 (2025). MSC: 34C60 92D30 34C11 34C05 34D20 34D05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zaizheng; Luo, Haijun; Zhang, Zhitao Blow-up profile of normalized solutions for fractional nonlinear Schrödinger equation with negative potentials. (English) Zbl 1547.35733 Discrete Contin. Dyn. Syst. 45, No. 1, 160-188 (2025). MSC: 35R11 35B40 35B44 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Qinghua; Lei, Yutian Regularity and Liouville theorem on an integral equation of Allen-Cahn type. (English) Zbl 1548.45002 Discrete Contin. Dyn. Syst. 45, No. 1, 37-55 (2025). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 45G05 45E10 47N20 35Q56 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Katani, Roghayeh; Shahmorad, Sedaghat; Conte, Dajana Approximate solution of multi-term fractional differential equations via a block-by-block method. (English) Zbl 1545.65502 J. Comput. Appl. Math. 453, Article ID 116135, 10 p. (2025). MSC: 65R20 45D05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Ghaemi, Mohammad Bagher; Mottaghi, Fatemeh; Li, Chenkuan; Saadati, Reza Existence and regularity results for a system of \(\Lambda\)-Hilfer fractional differential equations by the generalized Lax-Milgram theorem. (English) Zbl 07973043 Indian J. Pure Appl. Math. 55, No. 4, 1150-1159 (2024). MSC: 34A08 26A33 34B08 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weiwei; Ralescu, Dan A.; Zhang, Panpan Valuation of convertible bond based on uncertain fractional differential equation. (English) Zbl 07972614 Fuzzy Optim. Decis. Mak. 23, No. 4, 513-538 (2024). MSC: 91-XX 90-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Lijuan; Wang, Yejuan Feynman-Kac formula for tempered fractional general diffusion equations driven by TFBM. (English) Zbl 07972606 Stochastic Anal. Appl. 42, No. 6, 1000-1051 (2024). MSC: 60H07 60H15 60G22 60G52 35S50 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Shuang, Zhen; Xiao, Jie Evolutionary weighted Laplace equations with applications in signal decomposition. (English) Zbl 07970551 SIAM J. Imaging Sci. 17, No. 3, 2015-2052 (2024). MSC: 35R11 35K51 35K58 35L71 35B05 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Xiaohong; Deng, Dingwen Structure-preserving Du Fort-Frankel finite difference schemes and their analysis for delayed Fisher equation. (Chinese. English summary) Zbl 07969226 Math. Numer. Sin. 46, No. 2, 189-212 (2024). MSC: 26A33 34A08 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Jakobsen, Espen R.; Rutkowski, Artur Towards a Schauder theory for fractional viscous Hamilton-Jacobi equations. (English) Zbl 07969023 Pure Appl. Funct. Anal. 9, No. 5, 1163-1173 (2024). MSC: 35S10 35A09 35B65 35F21 35K08 45K05 35K61 49L12 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Feng, Wei; Zhao, Songlin On invariant analysis and conservation law for fractional differential equations with mixed fractional derivative: time-fractional Fokas-Lenells equation. (English) Zbl 07968452 Rep. Math. Phys. 94, No. 3, 405-420 (2024). MSC: 35-XX 26-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Lingling; Fu, Yayun Unconditional error estimate of linearly-implicit and energy-preserving schemes for nonlocal wave equations. (English) Zbl 07967267 Comput. Math. Appl. 176, 492-509 (2024). MSC: 65M06 65M12 65T50 35L05 35R11 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Alikhanov, Anatoly A.; Asl, Mohammad Shahbazi; Li, Dongfang A novel explicit fast numerical scheme for the Cauchy problem for integro-differential equations with a difference kernel and its application. (English) Zbl 07967216 Comput. Math. Appl. 175, 330-344 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Junqing; Chi, Xiaoqing; Jiang, Xiaoyun Improved uniform error bounds for long-time dynamics of the high-dimensional nonlinear space fractional sine-Gordon equation with weak nonlinearity. (English) Zbl 07967201 Comput. Math. Appl. 175, 62-86 (2024). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mesgarani, Hamid; Esmaeelzade, Aghdam Yones; Darabi, Ezzatollah A new numerical method for discretization of the nonlinear Klein-Gordon model arising in light waves. (English) Zbl 07966752 J. Math. Model. 12, No. 1, 71-84 (2024). MSC: 65L60 65N12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Prakash, Bijil; Setia, Amit; Bose, Shourya; Agarwal, Ravi P. Error analysis of a Haar wavelets-based numerical method with its application to a nonlinear fractional dengue model. (English) Zbl 07966587 Int. J. Comput. Math. 101, No. 12, 1379-1397 (2024). MSC: 26A33 34A34 42C40 65L05 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Jingjun; Kong, Jiameng; Xu, Yang Convergence of Runge-Kutta-based convolution quadrature for semilinear fractional differential equations. (English) Zbl 07966580 Int. J. Comput. Math. 101, No. 11, 1326-1340 (2024). MSC: 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Wenguang; Wang, Zhibo; Ou, Caixia A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation. (English) Zbl 07966577 Int. J. Comput. Math. 101, No. 11, 1255-1269 (2024). MSC: 65M06 65M12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Yubo; Jiang, Yiming; Wei, Yawei; Xu, Mengjiao Stochastic wave equation with Marchaud fractional derivative. (English) Zbl 07966555 Ann. Math. Sci. Appl. 9, No. 3, 531-557 (2024). MSC: 60H15 35R60 35L05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Li; Fu, Hongfei; Zhang, Bingyin; Xie, Shusen A fast compact block-centered finite difference method on graded meshes for time-fractional reaction-diffusion equations and its robust analysis. (English) Zbl 07966434 Numer. Math., Theory Methods Appl. 17, No. 2, 429-462 (2024). MSC: 35R11 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Kadiev, R. I.; Ponosov, A. Existence and uniqueness of solutions to nonlinear functional integral Itô equations. (English. Russian original) Zbl 07965586 Differ. Equ. 60, No. 9, 1160-1182 (2024); translation from Differ. Uravn. 60, No. 9, 1167-1189 (2024). MSC: 34-XX 60-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruinan; Zhang, Beibei A large deviation principle for nonlinear stochastic wave equation driven by rough noise. (English) Zbl 07965305 J. Stat. Phys. 191, No. 12, Paper No. 159, 40 p. (2024). MSC: 60H15 60F10 60G22 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wei; Ni, Jinbo Some new results on Itô-Doob Hadamard fractional stochastic pantograph equations in \(L^p\) spaces. (English) Zbl 07965212 Qual. Theory Dyn. Syst. 23, Suppl. 1, Paper No. 302, 27 p. (2024). MSC: 60H10 34A08 34K50 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Soluki, M.; Afrouzi, G. A.; Rasouli, S. H. Existence of non-trivial solutions to a class of fractional \(p\)-Laplacian equations of Schrödinger-type with a combined nonlinearity. (English) Zbl 07965060 J. Anal. 32, No. 5, 2847-2856 (2024). MSC: 35J10 35R11 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Mittal, A. K. Pseudospectral quadrature simulation technique for spatio-temporally parabolic multi-dimensional nonlinear fractional evolution equation. (English) Zbl 07965050 J. Anal. 32, No. 5, 2647-2669 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Georgiev, Svetlin G.; Doğru Akgöl, Sibel Existence and uniqueness of solutions for fractional dynamic equations with impulse effects. (English) Zbl 07964842 Math. Slovaca 74, No. 6, 1477-1488 (2024). MSC: 34A08 34A12 34A37 34N05 × Cite Format Result Cite Review PDF Full Text: DOI
Samadyar, Nasrin; Ordokhani, Yadollah Approximate solution of stochastic Allen-Cahn equation of fractional order using finite difference and RBF-based meshfree method. (English) Zbl 07964492 Lith. Math. J. 64, No. 4, 514-529 (2024). MSC: 60H35 60H15 35R60 65C30 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Dhawan, Sangeeta; Jonnalagadda, Jagan Mohan Nontrivial solutions for arbitrary order discrete relaxation equations with periodic boundary conditions. (English) Zbl 07964305 J. Anal. 32, No. 4, 2113-2133 (2024). MSC: 39A27 26A33 39A13 39A70 33E12 33E30 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Damini; Sen, Mausumi; Sarkar, Nimai; Miah, Bapan Ali A qualitative investigation on Caputo fractional neutral VF integro differential equation and its uniform stability. (English) Zbl 07964299 J. Anal. 32, No. 4, 2005-2020 (2024). MSC: 34A08 45J05 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen, Anh Tuan; Caraballo, Tómas; Tuan, Nguyen Huy Blow-up solutions of fractional diffusion equations with an exponential nonlinearity. (English) Zbl 07962895 Proc. Am. Math. Soc. 152, No. 12, 5175-5189 (2024). MSC: 35B44 35K20 35K58 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Benbrahim, Abdelouahab; Batiha, Iqbal M.; Jebril, Iqbal H.; Bourobta, Ahmed; Oussaeif, Taki-Eddine; Alkhazaleh, Shawkat A priori predictions for a weak solution to time-fractional nonlinear reaction-diffusion equations incorporating an integral condition. (English) Zbl 07962730 Nonlinear Dyn. Syst. Theory 24, No. 5, 442-459 (2024). MSC: 35R11 35A01 35A02 70K75 × Cite Format Result Cite Review PDF Full Text: Link
Al-khateeb, Areen; Zureigat, Hamzeh; Batiha, Belal; Alkhazaleh, Shawkat Stability and uniqueness results for the nonseparated boundary conditions of nonlinear coupled system of fractional differential equations. (English) Zbl 07962548 Int. J. Math. Math. Sci. 2024, Article ID 1857236, 13 p. (2024). MSC: 34-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Badawi, Haneen; Abu Arqub, Omar; Shawagfeh, Nabil Existence, uniqueness, and collocation solutions using the shifted Legendre spectral method for the Hilfer fractional stochastic integro-differential equations regarding stochastic Brownian motion. (English) Zbl 07962217 Results Appl. Math. 24, Article ID 100504, 17 p. (2024). MSC: 34K50 60H20 65C30 60G22 × Cite Format Result Cite Review PDF Full Text: DOI
Oza, Priyank; Agarwal, Khusboo; Tyagi, Jagmohan Fundamental solutions: a brief review. (English) Zbl 07961834 Differ. Equ. Appl. 16, No. 1, 39-70 (2024). MSC: 35A08 35M10 35J50 35J70 35E05 35H20 17B70 35Q05 26D10 35R03 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Pskhu, A. V.; Kosmakova, M. T.; Izhanova, K. A. Cauchy problem for a loaded fractional diffusion equation. (English) Zbl 07961813 Lobachevskii J. Math. 45, No. 9, 4574-4581 (2024). MSC: 35R11 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Ashurov, R. R.; Saparbayev, R. A. Forward and inverse problems for fractional telegraph equation. (English) Zbl 07961804 Lobachevskii J. Math. 45, No. 9, 4459-4478 (2024). MSC: 34A08 34A55 34L10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Bekakra, Youcef; Bouziani, Abdelfatah Rothe time-discretization method for Caputo fractional parabolic equation. (English) Zbl 07961757 Lobachevskii J. Math. 45, No. 8, 3873-3883 (2024). MSC: 35R11 35K20 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoli; Yang, Zhen Optimal shape design of 1D fractional order heat equation in large time. (English) Zbl 07961691 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 85, 15 p. (2024). MSC: 35-XX 49-XX × Cite Format Result Cite Review PDF Full Text: DOI
El Allaoui, Abdelati; Allaoui, Youssef; Melliani, Said; El Khalfi, Hamid Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions. (English) Zbl 07961517 Comput. Methods Differ. Equ. 12, No. 3, 438-453 (2024). MSC: 47H10 26A33 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Barikbin, Mohammad Saeed Modified simple equation method (MSEM) for solving nonlinear \((3+1)\)-dimensional space-time fractional equations. (English) Zbl 07961515 Comput. Methods Differ. Equ. 12, No. 2, 413-424 (2024). MSC: 65L05 34K06 34K28 × Cite Format Result Cite Review PDF Full Text: DOI
Maji, Sandip; Natesan, Srinivasan Adaptive-grid technique for the numerical solution of a class of fractional boundary-value-problems. (English) Zbl 07961510 Comput. Methods Differ. Equ. 12, No. 2, 338-349 (2024). MSC: 34A08 65L05 65L12 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Kavousi Kalashami, Zahra; Ghanbari, Kazem; Mirzaei, Hanif Fractional Chebyshev differential equation on symmetric \(\alpha\) dependent interval. (English) Zbl 07961503 Comput. Methods Differ. Equ. 12, No. 2, 226-235 (2024). MSC: 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Saglam Ozkan, Yeşim; Yasar, Emrullah Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques. (English) Zbl 07961502 Comput. Methods Differ. Equ. 12, No. 2, 207-225 (2024). MSC: 97M30 34G20 93E35 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Guang Meng; He, Jia Wei Existence and regularity of strict solutions for a class of fractional evolution equations. (English) Zbl 07961237 Math. Nachr. 297, No. 12, 4730-4749 (2024). MSC: 35R11 35B65 35K15 35K90 × Cite Format Result Cite Review PDF Full Text: DOI
Thu, Tran Thi; Tran Van Tuan On temporal regularity and polynomial decay of solutions for a class of nonlinear time-delayed fractional reaction-diffusion equations. (English) Zbl 07961229 Math. Nachr. 297, No. 12, 4510-4534 (2024). MSC: 35R11 35B40 35B65 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Durdiev, D. K.; Elmuradova, H. B. Kernel determination problem in the fractional pseudo-integro-differential equation. (English) Zbl 07960887 Rend. Circ. Mat. Palermo (2) 73, No. 8, 3313-3326 (2024). MSC: 34A08 34K10 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Daimary, Nobin; Paul, Ranu Analysis of a fractional-order mathematical model for occupational transition from farming to other sectors. (English) Zbl 07960445 Gulf J. Math. 18, No. 1, 165-188 (2024). MSC: 91-XX 92-XX 34A08 34C23 34D20 34C60 49K40 × Cite Format Result Cite Review PDF Full Text: DOI