Atangana, Abdon; İğret Araz, Seda 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). MSC: 65-02 26A33 47N50 × Cite Format Result Cite Review PDF
Sharif, Abdulrahman A.; Hamoud, Ahmed A.; Hamood, Maha M.; Ghadle, Kirtiwant P. On new uniqueness results for Riemann-Liouville fractional Volterra-Fredholm integro-differential equations with deviating arguments. (English) Zbl 07983834 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 32, No. 1, 25-40 (2025). MSC: 26A33 34K20 47H10 × Cite Format Result Cite Review PDF Full Text: Link
Hammoumi, Ibtissem; Salim, Abdelkrim; Hammouche, Hadda; Benchohra, Mouffak Hilfer fractional differential inclusions with non instantaneous impulses in Banach spaces. (English) Zbl 07983833 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 32, No. 1, 1-24 (2025). MSC: 34A08 26A33 34K05 × Cite Format Result Cite Review PDF Full Text: Link
Artyushin, A. N. Function spaces of \(L_{p(\cdot)}\) (\(L_{q(\cdot)}\))-type and embedding theorems for spaces with variable smoothness. (English. Russian original) Zbl 07982511 Sib. Math. J. 66, No. 1, 1-15 (2025); translation from Sib. Mat. Zh. 66, No. 1, 3-19 (2025). MSC: 46E30 42Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Kostić, Marko Almost periodic type solutions. To integro-differential-difference equations (to appear). (English) Zbl 07982376 De Gruyter Studies in Mathematics 101. Berlin: De Gruyter (ISBN 978-3-11-168728-5/hbk; 978-3-11-168974-6/ebook). (2025). MSC: 45-02 39-02 45D05 45M15 45N05 39A12 39A23 39A13 26A33 × Cite Format Result Cite Review PDF
Dhayal, Rajesh; Malik, Muslim Stability analysis of damped fractional stochastic differential systems with Poisson jumps: an successive approximation approach. (English) Zbl 07982103 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 56, No. 1, 170-182 (2025). MSC: 93-XX 37L55 26A33 39A30 60G05 × Cite Format Result Cite Review PDF Full Text: DOI
Miranda, Luiz G. R.; Freitas, Mirelson M.; Dos Santos, Manoel J. Dynamics and singular limit for a swelling porous elastic soil model with fluid saturation and fractional delay. (English) Zbl 07980863 J. Math. Anal. Appl. 545, No. 2, Article ID 129193, 34 p. (2025). MSC: 35Q35 35Q74 76S05 74F10 74L10 74B20 35B40 35B41 35B65 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chunlei; Wang, Hongwei; Zhang, Qian Simultaneous identification of parameters of fractional-order Hammerstein-Wiener model with time-delay using operational matrix in a colored noise environment. (English) Zbl 07980498 J. Franklin Inst. 362, No. 1, Article ID 107444, 28 p. (2025). MSC: 93E10 34K37 × Cite Format Result Cite Review PDF Full Text: DOI
Thai, Ha Duc; Tuan, Hoang The Modified Mikhailov stability criterion for non-commensurate fractional-order neutral differential systems with delays. (English) Zbl 07980454 J. Franklin Inst. 362, No. 1, Article ID 107384, 19 p. (2025). MSC: 34K20 34K37 45A05 45D05 45M10 93C43 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Lingao; Li, Lulu; Cao, Jinde; Abdel-Aty, Mahmoud Fractional exponential stability of nonlinear conformable fractional-order delayed systems with delayed impulses and its application. (English) Zbl 07980445 J. Franklin Inst. 362, No. 1, Article ID 107353, 23 p. (2025). MSC: 93D23 34K20 34K37 34K45 × Cite Format Result Cite Review PDF Full Text: DOI
Cinque, Fabrizio; Orsingher, Enzo Higher-order fractional equations and related time-changed pseudo-processes. (English) Zbl 07980355 J. Math. Anal. Appl. 543, No. 2, Part 3, Article ID 129026, 20 p. (2025). MSC: 60H30 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Hui; Sun, Chengfeng; Li, Mei Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping. (English) Zbl 07980343 J. Math. Anal. Appl. 543, No. 2, Part 3, Article ID 129007, 23 p. (2025). MSC: 35Q86 35Q30 86A08 86A05 76D05 35B65 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adriani, Andrea; Sormani, Rosita L.; Tablino-Possio, Cristina; Krause, Rolf; Serra-Capizzano, Stefano Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with fractional Laplacian and variable coefficient wave number \(\mu \). (English) Zbl 07979693 Linear Algebra Appl. 708, 551-584 (2025). MSC: 65F08 35R11 65N22 15A18 47B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El-Bezdaoui, Latifa; Taqbibt, Abdellah; El Omari, M’hamed; Chadli, Lalla Saadia On the generalized fractional Hankel transforms of arbitrary order in the Zemanian spaces. (English) Zbl 07979560 Gulf J. Math. 19, No. 1, 347-361 (2025). MSC: 46F12 44A15 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Boudjedour, Allaoua; Batiha, Iqbal; Boucetta, Selma; Dalah, Mohamed; Zennir, Khaled; Ouannas, Adel A finite difference method on uniform meshes for solving the time-space fractional advection-diffusion equation. (English) Zbl 07979550 Gulf J. Math. 19, No. 1, 156-168 (2025). MSC: 65M06 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Suliman, Muhammad; Ibrahim, Muhammad; Algehyne, Ebrahem A.; Ali, Vakkar A study of an efficient numerical method for solving the generalized fractional reaction-diffusion model involving a distributed-order operator along with stability analysis. (English) Zbl 07979079 Comput. Math. Appl. 180, 61-75 (2025). MSC: 26A33 35R11 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Jiliang; Wang, Wansheng; Xiao, Aiguo Adaptive fast \(L1-2\) scheme for solving time fractional parabolic problems. (English) Zbl 07979065 Comput. Math. Appl. 179, 59-76 (2025). MSC: 65M15 65M50 65M06 65M12 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Hao, Zhaopeng; Cai, Zhiqiang; Zhang, Zhongqiang Fractional-order dependent radial basis functions meshless methods for the integral fractional Laplacian. (English) Zbl 07979059 Comput. Math. Appl. 178, 197-213 (2025). MSC: 35B65 65M70 41A25 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Peiguang; Li, Fangran; Bao, Junyan Practical stability in terms of two measures of sheaf solutions of impulsive set control differential equations. (English) Zbl 07978671 Comput. Appl. Math. 44, No. 1, Paper No. 81, 16 p. (2025). MSC: 34A12 26A33 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Jarrín, Oscar Asymptotic behavior in time of a generalized Navier-Stokes-alpha model. (English) Zbl 07978273 Discrete Contin. Dyn. Syst., Ser. B 30, No. 5, 1669-1709 (2025). MSC: 35Q30 76D05 35B40 35D30 35D35 35B41 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Xuehua; Wang, Wan; Zhou, Ziyi; Zhang, Haixiang An efficient compact difference method for the fourth-order nonlocal subdiffusion problem. (English) Zbl 07977961 Taiwanese J. Math. 29, No. 1, 35-66 (2025). MSC: 65R20 45K05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Aparicio, Rafael; Keyantuo, Valentin Maximal regularity for fractional integro-differential equations in Besov spaces. (English) Zbl 07977851 Commun. Pure Appl. Anal. 24, No. 3, 427-458 (2025). MSC: 45J05 47N20 26A33 42A38 42A45 × Cite Format Result Cite Review PDF Full Text: DOI
Goodrich, Christopher S. \(p(x)\)-growth in nonlocal differential equations with convolution coefficients. (English) Zbl 07977087 Adv. Differ. Equ. 30, No. 3-4, 115-140 (2025). MSC: 34B10 34B18 42A85 44A35 26A33 26A51 47H30 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Weizhang; Shen, Jinye A grid-overlay finite difference method for inhomogeneous Dirichlet problems of the fractional Laplacian on arbitrary bounded domains. (English) Zbl 07975323 J. Sci. Comput. 102, No. 2, Paper No. 50, 26 p. (2025). MSC: 65N06 65N50 65T50 65F08 65F50 65M12 65M15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wen-Yuan; Li, Nong-Sen; Zhang, Rui-Gang; Cui, Ji-Feng Higher-order breathers, lumps and interaction dynamics for a (3+1)-dimensional fractal-fractional potential-YTSF equation. (English) Zbl 07975144 J. Math. Anal. Appl. 545, No. 1, Article ID 129176, 15 p. (2025). MSC: 34Axx 35Qxx 35Cxx × Cite Format Result Cite Review PDF Full Text: DOI
He, Ke; Song, Jian; Zhao, Na; Liu, Shenquan Hopf bifurcation and dynamical transitions in a fractional-order FitzHugh-Rinzel model with multiple time delays. (English) Zbl 07973473 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108471, 30 p. (2025). MSC: 34K37 34K18 37M20 92C20 × Cite Format Result Cite Review PDF Full Text: DOI
El Beldi, Mouâd Hille-Yosida theorem for two-parameter conformable fractional semigroups of operators. (English) Zbl 07971748 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 40, 15 p. (2025). MSC: 34G10 34A55 26A33 × 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
Mishra, Shashi Kant; Sharma, Ravina; Bisht, Jaya Quantum analogue of Hermite-Hadamard type inequalities for strongly convex functions. (English) Zbl 07971737 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 29, 17 p. (2025). MSC: 26A51 26E25 26A33 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yulong; Raihen, Md Nurul; Çelik, Emine; Telyakovskiy, Aleksey S. An example of fractional ODE loss of maximum principle and Hopf’s lemma. (English) Zbl 07971735 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 27, 11 p. (2025). MSC: 34A08 30C80 34B05 26A33 × 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: 35R11 35C15 33C10 35K15 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vivek, Shanmugam; Panda, Sumati Kumari; Vijayakumar, Velusamy Optimal feedback control results for Hilfer fractional neutral dynamical systems with history-dependent operators. (English) Zbl 07971581 J. Optim. Theory Appl. 204, No. 2, Paper No. 20, 23 p. (2025). MSC: 34K37 49J15 34A08 93B52 × 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 65M06 65N30 65D32 65C30 65M12 65M15 60G22 35B65 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ilolov, Mamadsho; Kuchakshoev, Kholiknazar Stability of solutions of time fractional stochastic differential equations. (English) Zbl 07971203 J. Math. Sci., New York 287, No. 1, 1-14 (2025). MSC: 60H10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Dhakshinamoorthy, Vignesh; Wu, Guo-Cheng; Banerjee, Santo Chaotic dynamics of fractional discrete time systems. (English) Zbl 07969866 Boca Raton, FL: CRC Press/Science Publishers (ISBN 978-1-032-54476-2/hbk; 978-1-032-54481-6/pbk; 978-1-003-42511-3/ebook). vi, 181 p. (2025). MSC: 92-02 92C40 92C42 37D45 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Rubin, Boris Fractional integrals, potentials, and radon transforms. 2nd edition. (English) Zbl 07969150 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-67366-0/hbk; 978-1-032-67499-5/pbk; 978-1-032-67502-2/ebook). (2025). MSC: 26A33 26-02 45E10 31A15 31B15 42B20 42C15 65R30 45L05 × Cite Format Result Cite Review PDF Full Text: DOI
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
Roul, Pradip; Kumari, Trishna High-order numerical schemes based on B-spline for solving a time-fractional Fokker-Planck equation. (English) Zbl 07968702 J. Comput. Appl. Math. 460, Article ID 116386, 21 p. (2025). MSC: 65M70 65M06 65N35 65D07 65M12 26A33 35R11 35Q84 × 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: 65M60 65M06 65N30 65M55 65M12 65M15 35A21 76A05 76M10 76M20 26A33 35R11 35Q35 × 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: 65M60 65M06 65N30 65M55 65H10 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Feng-Xian; Cui, Jun-Qi; Zhang, Jie; Lu, Yu-Feng; Liu, Xin-Ge Stabilization of fractional nonlinear systems with disturbances via sliding mode control. (English) Zbl 07968553 Int. J. Robust Nonlinear Control 35, No. 1, 202-221 (2025). MSC: 93B12 93D05 93C10 26A33 93C73 × 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
Ibañez-Firnkorn, Gonzalo; Ramadori, Emanuel Fractional maximal operator in hyperbolic spaces. (English) Zbl 07968004 J. Math. Anal. Appl. 544, No. 2, Article ID 129079, 13 p. (2025). MSC: 42B25 43A85 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Jornet, Marc; Nieto, Juan J. Representation and inequalities involving continuous linear functionals and fractional derivatives. (English) Zbl 07966184 Adv. Oper. Theory 10, No. 1, Paper No. 9, 15 p. (2025). MSC: 26D10 26D15 26A33 47A67 × Cite Format Result Cite Review PDF Full Text: DOI
Matsuoka, Katsuo Correction to: “Strong and weak estimates for some sublinear operators in Herz spaces with power weights at indices beyond critical index”. (English) Zbl 07966177 Adv. Oper. Theory 10, No. 1, Paper No. 2, 1 p. (2025). MSC: 42B35 26A33 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Hatano, Naoya Endpoint estimates for commutators with respect to the fractional integral operators on Orlicz-Morrey spaces. (English) Zbl 07966176 Adv. Oper. Theory 10, No. 1, Paper No. 1, 26 p. (2025). MSC: 42B35 42B25 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Rui; Liang, Sihua; Thin Van Nguyen; Zhang, Binlin Qualitative analysis of solutions for fractional \(p\)-Kirchhoff problems involving critical exponential growth. (English) Zbl 07965346 J. Geom. Anal. 35, No. 2, Paper No. 39, 54 p. (2025). MSC: 35A15 35A23 35J35 35J60 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Kassymov, Aidyn; Torebek, Berikbol T. Lyapunov-type inequality and positive solutions for a nonlinear fractional boundary value problem. (English) Zbl 07965333 Rend. Circ. Mat. Palermo (2) 74, No. 1, Paper No. 6, 17 p. (2025). MSC: 26D10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, J.; Lopez-Fernandez, M. Generalized convolution quadrature for non smooth sectorial problems. (English) Zbl 07965326 Calcolo 62, No. 1, Paper No. 5, 37 p. (2025). MSC: 65R20 65L05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Priyadharshini, A.; Jothimani, K.; Vijayakumar, V. Existence and uniqueness of the solution for the Hilfer fuzzy fractional integrodifferential equation via resolvent operators. (English) Zbl 07965228 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 34, 25 p. (2025). MSC: 45J05 26A33 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
George, Reny; Etemad, Sina; Avcı, İbrahim; Alshammari, Fahad Sameer A qualitative study for two discrete fractional delta difference BVPs with falling functions: application on the temperature control system. (English) Zbl 07965218 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 24, 32 p. (2025). MSC: 39A27 39A13 39A30 39A60 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Roul, Pradip A high-order numerical scheme and its analysis for Caputo temporal-fractional Black-Scholes model: European double barrier knock-out option. (English) Zbl 07965185 Numer. Algorithms 98, No. 1, 467-502 (2025). MSC: 65L05 26A33 91G80 × Cite Format Result Cite Review PDF Full Text: DOI
Kataria, K. K.; Vishwakarma, P. On time-changed linear birth-death-immigration process. (English) Zbl 07964594 J. Theor. Probab. 38, No. 1, Paper No. 21, 24 p. (2025). MSC: 60J80 60J27 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Rahimkhani, Parisa; Heydari, Mohammad Hossein Numerical investigation of \(\varPsi\)-fractional differential equations using wavelets neural networks. (English) Zbl 07964213 Comput. Appl. Math. 44, No. 1, Paper No. 54, 18 p. (2025). MSC: 26A33 41A10 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Srati, Mohammed; Oulmelk, Abdessamad; Afraites, Lekbir; Hadri, Aissam An inverse problem of identifying two coefficients in a time-fractional reaction diffusion system. (English) Zbl 07962675 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 113-147 (2025). MSC: 49N45 49K40 65M06 49N45 34K37 49J20 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
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
Cuesta, Eduardo; Ponce, Rodrigo Almost sectorial operators in fractional superdiffusion equations. (English) Zbl 07962323 Appl. Math. Optim. 91, No. 1, Paper No. 2, 31 p. (2025). MSC: 47-XX 35K15 47D06 26A33 47B12 × Cite Format Result Cite Review PDF Full Text: DOI
Ataei, Alireza; Egert, Moritz; Nyström, Kaj The Kato square root problem for weighted parabolic operators. (English) Zbl 07962298 Anal. PDE 18, No. 1, 141-169 (2025). MSC: 35K10 42B25 42B37 26A33 47B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Ajileye, Ganiyu; Aduroja, Ojo O.; Ajileye, Adewole Mukaila; Oyedepo, Taiye Numerical solution of Volterra integro-differential equations of fractional order with initial conditions using collocation approach. (English) Zbl 07962017 J. Fract. Calc. Appl. 16, No. 1, Paper No. 5, 10 p. (2025). MSC: 65R20 45J05 45D05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
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 \(\mathrm{L}2\)-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, Fangyuan; Wang, Qiming; Zhou, Zhaojie Adaptive finite element approximation of sparse optimal control problem with integral fractional Laplacian. (English) Zbl 07960906 J. Sci. Comput. 102, No. 1, Paper No. 17, 31 p. (2025). MSC: 65N30 65N50 65N12 65N15 49J20 49M25 35A15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Jesus, Rafael Oliveira; Raposo, Carlos Alberto; Ribeiro, Joilson Oliveira; Villagran, Octavio Vera Timoshenko system with internal dissipation of fractional derivative type. (English) Zbl 07960345 J. Appl. Anal. Comput. 15, No. 2, 1146-1169 (2025). MSC: 26A33 35Q70 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Arora, Shelly; Dhaliwal, S. S.; Ma, Wen Xiu; Pasrija, Atul Analysis of fractional order Schrödinger equation with singular and non-singular kernel derivatives via novel hybrid scheme. (English) Zbl 07960339 J. Appl. Anal. Comput. 15, No. 2, 1039-1067 (2025). MSC: 26A33 35A22 35C05 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
Bényi, Árpád; Oh, Tadahiro; Zhao, Tengfei Fractional Leibniz rule on the torus. (English) Zbl 07959338 Proc. Am. Math. Soc. 153, No. 1, 207-221 (2025). MSC: 26A33 42B15 42B25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Ansari, B.; El Kinani, E. H.; Ouhadan, A. Symmetry analysis of the time fractional potential-KdV equation. (English) Zbl 07959250 Comput. Appl. Math. 44, No. 1, Paper No. 34, 14 p. (2025). MSC: 76M60 35Q53 26A33 70H33 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Dong-Sheng; Chang, Yong-Kui Pseudo \((\omega, c)\)-periodic solutions to Volterra difference equations in Banach spaces. (English) Zbl 07959249 Comput. Appl. Math. 44, No. 1, Paper No. 33, 23 p. (2025). MSC: 34K37 39A23 39A24 34G20 × Cite Format Result Cite Review PDF Full Text: DOI
García, A.; Negreanu, M.; Ureña, F.; Vargas, A. M. On the numerical solution to space fractional differential equations using meshless finite differences. (English) Zbl 07958859 J. Comput. Appl. Math. 457, Article ID 116322, 10 p. (2025). MSC: 65M06 65N06 65K10 65M12 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Murad, Muhammad Amin S.; Omar, Faraj M. Optical solitons, dynamics of bifurcation, and chaos in the generalized integrable \((2+1)\)-dimensional nonlinear conformable Schrödinger equations using a new Kudryashov technique. (English) Zbl 07958835 J. Comput. Appl. Math. 457, Article ID 116298, 12 p. (2025). MSC: 35Q55 35Q41 35Q51 35C08 35B32 37K10 78A60 26A33 35R11 × 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
Chen, Yanping; Guo, Jixiao Unconditional error analysis of the linearized transformed \(L1\) virtual element method for nonlinear coupled time-fractional Schrödinger equations. (English) Zbl 07958820 J. Comput. Appl. Math. 457, Article ID 116283, 20 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Jornet, Marc; Nieto, Juan J. The Peano-Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation. (English) Zbl 07958807 J. Comput. Appl. Math. 457, Article ID 116262, 12 p. (2025). MSC: 26A33 41A35 65D05 × 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
Huang, Chaobao; An, Na; Yu, Xijun; Chen, Hu Pointwise-in-time error analysis of the corrected \(\mathrm{L}1\) scheme for a time-fractional sine-Gordon equation. (English) Zbl 07954688 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108370, 11 p. (2025). MSC: 65M06 65N06 65M12 65M15 35A21 26A33 35R11 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Odibat, Zaid Numerical discretization of initial-boundary value problems for PDEs with integer and fractional order time derivatives. (English) Zbl 07954657 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108331, 12 p. (2025). MSC: 65M06 65N06 65L06 26A33 35R11 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Santra, Sudarshan; Behera, Ratikanta Simultaneous space-time Hermite wavelet method for time-fractional nonlinear weakly singular integro-partial differential equations. (English) Zbl 07954652 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108324, 29 p. (2025). MSC: 65T60 45J05 34K37 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Atangana, Abdon; Koca, İlknur Fractional differential and integral operators with respect to a function. Theory methods and applications (to appear). (English) Zbl 07954529 Industrial and Applied Mathematics. Singapore: Springer (ISBN 978-981-979950-3/hbk; 978-981-979953-4/pbk; 978-981-979951-0/ebook). xii, 366 p. (2025). MSC: 26-01 26A33 × Cite Format Result Cite Review PDF
Anoop, T. V.; Roy, Prosenjit; Roy, Subhajit On fractional Orlicz-Hardy inequalities. (English) Zbl 07954260 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128980, 29 p. (2025). MSC: 46E30 46E35 26D10 35Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Oliveira, Edmundo Capelas; Maiorino, José Emílio Analytical methods in applied mathematics. (English) Zbl 07951974 Problem Books in Mathematics. Cham: Springer (ISBN 978-3-031-74793-9/hbk; 978-3-031-74796-0/pbk; 978-3-031-74794-6/ebook). xiii, 388 p. (2025). MSC: 34-01 30-01 33-01 42-01 45-01 26A33 00A06 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhen; Zhao, Siyao; Wei, Yabing A numerical approach for the fractional Stokes equations with Caputo derivative. (English) Zbl 07948491 Discrete Contin. Dyn. Syst., Ser. B 30, No. 3, 1050-1068 (2025). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 76M10 76M20 26A33 35R11 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, Vandana; Vats, Ramesh Kumar; Kumar, Ankit New exploration on approximate controllability of nondensely defined Hilfer neutral-type delayed nonlinear differential inclusion system with non-instantaneous impulse. (English) Zbl 07946876 J. Math. Anal. Appl. 543, No. 1, Article ID 128872, 20 p. (2025). MSC: 34K35 34K40 34K32 34K37 34K45 47D06 47H10 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
do Ó, João Marcos; Lu, Guozhen; Ponciano, Raoní Cabral Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains. (English) Zbl 07946843 Discrete Contin. Dyn. Syst. 45, No. 2, 557-584 (2025). MSC: 35A23 35B33 35J60 46E30 46E35 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yasin, Walaa; Fernandez, Arran Fractional powers of Clifford d-bar and radial derivatives. (English) Zbl 07941022 J. Math. Anal. Appl. 542, No. 2, Article ID 128952, 25 p. (2025). MSC: 26-XX 30-XX × Cite Format Result Cite Review PDF Full Text: DOI
Han, Xiaoyue; Xu, Run Some new fractional integral inequalities for \((h_1, h_2)\)-convex functions. (English) Zbl 07939974 Math. Found. Comput. 8, No. 1, 89-112 (2025). MSC: 26A51 26A33 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yu; Rad, Narges Tohidi; Skandari, Mohammad Hadi Noori; Tohidi, Emran A spectral collocation scheme for solving nonlinear delay distributed-order fractional equations. (English) Zbl 07939182 J. Comput. Appl. Math. 456, Article ID 116227, 16 p. (2025). MSC: 65L05 34A08 26A33 65D32 × 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). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65N06 65M12 65M15 65T50 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lin; Zhang, Sen; Ge, Zhixia; Feng, Libo Artificial boundary method for the fractional second-grade fluid flow on a semi-infinite plate with the effects of magnetic field and a power-law viscosity. (English) Zbl 07927816 Appl. Math. Lett. 159, Article ID 109263, 9 p. (2025). MSC: 65M06 65N06 65D32 76A10 76W05 76M20 74F10 74K20 26A33 35R11 35Q35 × 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: 35Q55 35Q41 34K37 35A24 35B06 26A33 35R11 22E60 × Cite Format Result Cite Review PDF Full Text: DOI
Jia, Honggang; Nie, Yufeng; Zhao, Yanmin General conformable fractional double Laplace-Sumudu transform and its application. (English) Zbl 07925038 J. Appl. Anal. Comput. 15, No. 1, 9-20 (2025). MSC: 35A20 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Cuesta, Carlota M.; de la Hoz, Francisco; Girona, Ivan Numerical approximation of Riesz-Feller operators on \(\mathbb{R}\). (English) Zbl 1548.35317 J. Comput. Appl. Math. 454, Article ID 116194, 25 p. (2025). MSC: 35S30 26A33 30E20 33C05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Xiong-Bin; Xu, Zhi-Qin John; Ma, Zheng Bayesian inversion with neural operator (BINO) for modeling subdiffusion: forward and inverse problems. (English) Zbl 1547.65132 J. Comput. Appl. Math. 454, Article ID 116191, 18 p. (2025). MSC: 65M32 62F15 35R30 68T07 68Q32 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singh, Akanksha; Kanaujiya, Ankur; Mohapatra, Jugal Euler wavelets method for optimal control problems of fractional integro-differential equations. (English) Zbl 1546.49011 J. Comput. Appl. Math. 454, Article ID 116178, 16 p. (2025). MSC: 49J15 49N10 65T60 26A33 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Özarslan, Mehmet Ali On the approximation to fractional calculus operators with multivariate Mittag-Leffler function in the kernel. (English) Zbl 1547.41020 J. Comput. Appl. Math. 454, Article ID 116148, 13 p. (2025). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A36 26A33 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmad, Haroon; Din, Fahim Ud; Younis, Mudasir A fixed point analysis of fractional dynamics of heat transfer in chaotic fluid layers. (English) Zbl 07900347 J. Comput. Appl. Math. 453, Article ID 116144, 23 p. (2025). MSC: 37M25 37N10 47N20 47H10 26A33 80A19 × 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
Gade, Prashant M.; Bhalekar, Sachin; Chevala, Janardhan Analysis of the maps with variable fractional order. arXiv:2502.07290 Preprint, arXiv:2502.07290 [math.DS] (2025). MSC: 26A33 39A30 × Cite Format Result Cite Full Text: arXiv