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 45K05 47G20 45H05 35S05 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Poltem, Duangkamol; Wiwatwanich, Araya A new double integral transform for solving partial integro-differential equation. (English) Zbl 07907963 Int. J. Math. Comput. Sci. 20, No. 1, 79-88 (2025). MSC: 44A05 44A35 × Cite Format Result Cite Review PDF Full Text: DOI
Amirali, Ilhame; Fedakar, Burcu; Amiraliyev, Gabil M. Second-order numerical method for a neutral Volterra integro-differential equation. (English) Zbl 07900358 J. Comput. Appl. Math. 453, Article ID 116160, 8 p. (2025). MSC: 65R20 45J05 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández-Real, Xavier; Ros-Oton, Xavier Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels. (English) Zbl 07925484 Proc. Lond. Math. Soc. (3) 129, No. 3, Article ID e12629, 47 p. (2024). MSC: 47G20 35B65 35R11 60G52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nagar, Harish; Sharma, Sonia Complex Sadik integral transform of linear Volterra integro-differential equations of second kind. (English) Zbl 07925154 South East Asian J. Math. Math. Sci. 20, No. 1, 129-136 (2024). MSC: 45D05 44A10 44A20 × Cite Format Result Cite Review PDF Full Text: DOI
Rathore, Ajay Singh; Shanthi, Vembu A computational method for singularly perturbed reaction-diffusion type system of integro-differential equations with discontinuous source term. (English) Zbl 07924852 Calcolo 61, No. 3, Paper No. 54, 23 p. (2024). MSC: 65R20 65L10 65L12 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Shavlakadze, Nugzar; Jamaspishvili, Tsiala The singular integro-differential equations and its applications in the contact problems of elasticity theory. (English) Zbl 07924847 Math. Methods Appl. Sci. 47, No. 13, 11287-11298 (2024). MSC: 74B05 45E05 30E25 × Cite Format Result Cite Review PDF Full Text: DOI
Younus, Awais; Shaheen, Tahira; Tunç, Cemil On the structure of solutions of Volterra interval-valued integro-differential equations. (English) Zbl 07924819 Math. Methods Appl. Sci. 47, No. 13, 10857-10871 (2024). MSC: 45D05 45J05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Beghin, Luisa; Gajda, Janusz; Maheshwari, Aditya Integro-differential equations linked to compound birth processes with infinitely divisible addends. (English) Zbl 07924811 Math. Methods Appl. Sci. 47, No. 13, 10742-10758 (2024). MSC: 35R09 35R11 60G50 33E12 26A33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mennouni, Abdelaziz Improvement by projection for integro-differential equations. (English) Zbl 07924801 Math. Methods Appl. Sci. 47, No. 13, 10602-10608 (2024). MSC: 45J05 45J99 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Yixing; Fan, Zhenbin; Li, Gang Existence, uniqueness and regularity of solutions for fractional integro-differential equations with state-dependent delay. (English) Zbl 07923009 J. Appl. Anal. Comput. 14, No. 2, 623-641 (2024). MSC: 34G20 34K05 45K05 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Afiatdoust, F.; Heydari, M. H.; Hosseini, M. M. Block-by-block technique for a class of nonlinear systems of fractional integro-differential equations. (English) Zbl 07922838 J. Appl. Anal. Comput. 14, No. 1, 214-234 (2024). MSC: 65R20 65D30 45G10 × Cite Format Result Cite Review PDF Full Text: DOI
Costa, Masterson; Cuevas, Claudio; Silva, Clessius; Soto, Herme On the fractional-in-time Keller-Segel model via Sonine kernels. (English) Zbl 07922260 Topol. Methods Nonlinear Anal. 63, No. 2, 661-685 (2024). MSC: 26A33 35A01 35B40 35Q92 92C15 92C17 45H05 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Kryzhniy, Vladimir V. High-degree polynomial approximations for solving linear integral, integro-differential, and ordinary differential equations. (English) Zbl 07920868 Commun. Anal. Comput. 2, No. 2, 180-198 (2024). MSC: 65R30 65R32 65D05 65L05 65L10 × Cite Format Result Cite Review PDF Full Text: DOI
Anceschi, Francesca; Piccinini, Mirco; Rebucci, Annalaura New perspectives on recent trends for Kolmogorov operators. (English) Zbl 07920787 Menozzi, Stéphane (ed.) et al., Kolmogorov operators and their applications. Singapore: Springer. Springer INdAM Ser. 56, 57-92 (2024). MSC: 35K70 35Q84 35B45 35B65 47G20 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Efendiev, Messoud; Vougalter, Vitali Solvability of some systems of non-Fredholm integro-differential equations with mixed diffusion. (English) Zbl 07920475 J. Dyn. Differ. Equations 36, No. 3, 2239-2257 (2024). MSC: 35J05 35P30 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Efendiev, Messoud; Vougalter, Vitali Solvability of some integro-differential equations with transport and concentrated sources. (English) Zbl 07920466 J. Dyn. Differ. Equations 36, No. 3, 1967-1980 (2024). MSC: 35J05 35P30 47F05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuming; Vougalter, Vitali Existence of solutions for a class of integro-differential equations with the logarithmic Laplacian and transport. (English) Zbl 07919672 Matematica 3, No. 3, 821-832 (2024). MSC: 35P05 45K05 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Duduchava, Roland; Hendrickx, Arne; Ruzhansky, Michael Generic Bessel potential spaces on Lie groups. (English) Zbl 07919548 Duduchava, Roland (ed.) et al., Tbilisi analysis and PDE seminar. Extended abstracts of the 2020–2023. Seminar talks. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 7, 43-54 (2024). MSC: 47G20 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Kreisbeck, Carolin; Schönberger, Hidde Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems. (English) Zbl 07919124 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 249, Article ID 113642, 28 p. (2024). MSC: 35R11 49J45 47G20 35S15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davoli, Elisa; Gavioli, Chiara; Lombardini, Luca Existence results for Cahn-Hilliard-type systems driven by nonlocal integrodifferential operators with singular kernels. (English) Zbl 07919113 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 248, Article ID 113623, 59 p. (2024). MSC: 35R11 47G20 35K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borachok, I.; Palianytsia, O.; Chapko, R. Method of radial basis functions for solving the partial integro-differential equation of diffusion with nonlocal effects. (English. Ukrainian original) Zbl 07918618 Cybern. Syst. Anal. 60, No. 4, 621-632 (2024); translation from Kibern. Sist. Anal. 60, No. 4, 127-140 (2024). MSC: 65R20 45K05 65D12 68W50 × Cite Format Result Cite Review PDF Full Text: DOI
Rahimkhani, P.; Ordokhani, Y. Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential equations. (English) Zbl 07915223 Math. Sci., Springer 18, No. 3, 463-477 (2024). MSC: 65R20 45J05 34A08 65L60 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Efendiev, Messoud; Vougalter, Vitali On the solvability of some systems of integro-differential equations with transport and concentrated sources. (English) Zbl 07915209 Complex Var. Elliptic Equ. 69, No. 9, 1506-1522 (2024). MSC: 35J05 45K05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Azroul, E.; Kamali, N.; Shimi, M. On a singular \(p(x, \cdot)\)-integro-differential elliptic problem. (English) Zbl 07914780 J. Pseudo-Differ. Oper. Appl. 15, No. 3, Paper No. 57, 24 p. (2024). MSC: 35J92 45K05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Jaehoon; Park, Daehan An \(L_q(L_p)\)-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps. (English) Zbl 07914042 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 3, 1439-1491 (2024). MSC: 35B65 35R09 35R11 26A33 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Rossi, Julio D.; Ruiz-Cases, Jorge The trace fractional Laplacian and the mid-range fractional Laplacian. (English) Zbl 07912342 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 247, Article ID 113605, 24 p. (2024). MSC: 35R11 35D40 35B51 26A33 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qiu, Wenlin; Li, Yiqun; Zheng, Xiangcheng Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. (English) Zbl 07908400 Calcolo 61, No. 3, Paper No. 50, 29 p. (2024). MSC: 65R20 74S20 74K10 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Pantuvo, Tsoke Peter; Ajileye, Ganiyu; Taparki, Richard; Aduroja, Ojo Olamiposi Numerical method for the solution of high order Fredholm integro-differential difference equations using Legendre polynomials. (English) Zbl 07908212 Iran. J. Numer. Anal. Optim. 14, No. 3, 833-874 (2024). MSC: 65C30 65L06 × Cite Format Result Cite Review PDF Full Text: DOI OA License
El Ahmadi, Mahmoud; Bouabdallah, Mohamed; Lamaizi, Anass Existence and multiplicity results for Kirchhoff-type superlinear problems involving the fractional \(p(x)\)-Laplacian satisfying \((C)\)-condition. (English) Zbl 07908006 Gulf J. Math. 17, No. 1, 205-224 (2024). MSC: 35R11 35A15 35J92 47G20 35S15 × Cite Format Result Cite Review PDF Full Text: DOI
Kabore, Germain; Abbo, Bakari; So, Ousséni; Some, Blaise Solving strongly nonlinear fractional Fredholm integral-differential equations in Caputo’s sense using the SBA method. (English) Zbl 07907360 Aust. J. Math. Anal. Appl. 21, No. 1, Paper No. 17, 11 p. (2024). MSC: 26A33 65R10 65L03 35S11 × Cite Format Result Cite Review PDF Full Text: Link
Ayinde, Abdullahi Muhammed; Didigwu, Edith Ndidiamaka; Oyedepo, Taiye Vieta-Lucas polynomial computational tecnique for Volterra integro-differential equations. (English) Zbl 07906592 Electron. J. Math. Anal. Appl. 12, No. 1, Paper No. 1, 8 p. (2024). MSC: 49M27 45J05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xu; Zhai, Hao; Zhao, Fukun A compact embedding result for nonlocal Sobolev spaces and multiplicity of sign-changing solutions for nonlocal Schrödinger equations. (English) Zbl 07906347 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 5, 1853-1876 (2024). MSC: 35R11 35J50 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Fedorov, V. E.; Godova, A. D. Integro-differential equations of Gerasimov type with sectorial operators. (English. Russian original) Zbl 07906022 Proc. Steklov Inst. Math. 325, Suppl. 1, S99-S113 (2024); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 30, No. 2, 243-258 (2024). MSC: 35R11 35R09 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Mezhoud, Djaafer; Benssaad, Meryem; Lemita, Samir; Khellaf, Ammar About a new nonlinear integro-differential equation of Volterra-Sturm-Liouville type with a weakly singular kernel. (About a new nonlinear integro-differential equation of Volterra-Strum-Liouville type with a weakly singular kernel.) (English) Zbl 07905320 Bol. Soc. Parana. Mat. (3) 42, Paper No. 41, 13 p. (2024). MSC: 35B40 35L70 × Cite Format Result Cite Review PDF Full Text: DOI
Haddouchi, Faouzi Existence and Ulam-Hyers stability results for a class of fractional integro-differential equations involving nonlocal fractional integro-differential boundary conditions. (English) Zbl 07905298 Bol. Soc. Parana. Mat. (3) 42, Paper No. 19, 19 p. (2024). MSC: 34A08 26A33 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Sedka, Ilyes; Khellaf, Ammar; Lemita, Samir; Aissaoui, Mohamed Zine New algorithm on linearization-discretization solving systems of nonlinear integro-differential Fredholm equations. (English) Zbl 07905286 Bol. Soc. Parana. Mat. (3) 42, Paper No. 7, 17 p. (2024). MSC: 35B40 35L70 × Cite Format Result Cite Review PDF Full Text: DOI
Rezoug, Noreddine; Salim, Abdelkrim; Benchohra, Mouffak Asymptotically almost automorphy for impulsive integrodifferential evolution equations with infinite time delay via Mönch fixed point. (English) Zbl 07903726 Evol. Equ. Control Theory 13, No. 4, 989-1014 (2024). MSC: 34K30 34G20 45N05 × Cite Format Result Cite Review PDF Full Text: DOI
Marian, Daniela; Ciplea, Sorina Anamaria; Lungu, Nicolaie Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three. (English) Zbl 07903521 Open Math. 22, Article ID 20240017, 10 p. (2024). MSC: 35R09 35B35 35G35 45G10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bakirova, Elmira A.; Assanova, Anar T.; Kadirbayeva, Zhazira M. Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method. (English) Zbl 07903480 Open Math. 22, Article ID 20240024, 14 p. (2024). MSC: 65R20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xu, Yang; Zhou, Zhenguo; Zhao, Jingjun Error analysis of serendipity virtual element methods for semilinear parabolic integro-differential equations. (English) Zbl 07902981 J. Sci. Comput. 100, No. 2, Paper No. 55, 43 p. (2024). MSC: 65M60 65M06 65N30 65D32 65M15 35R09 45K05 35D30 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Praveen; Ramadan, Mohamed A.; Osheba, Heba S. Solving nonlinear Fredholm integro-differential equations with combined orthonormal Bernstein and improved block-pulse functions. (English) Zbl 07901948 Proc. Jangjeon Math. Soc. 27, No. 3, 511-523 (2024). MSC: 65L10 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Mengmeng; Guo, Tao; Zaky, Mahmoud A.; Hendy, Ahmed S. An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory. (English) Zbl 07901876 Appl. Numer. Math. 204, 111-129 (2024). MSC: 65M06 65N06 65R20 35R09 45K05 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Yangari, Miguel Some regularity results of Hamilton-Jacobi equations with variable-order Caputo time derivative. (English) Zbl 07901868 Adv. Differ. Equ. 29, No. 11-12, 951-972 (2024). MSC: 35B65 35F21 35R11 47G20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bothner, Thomas; Little, Alex The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions. (English) Zbl 07901525 Random Matrices Theory Appl. 13, No. 3, Article ID 2450012, 100 p. (2024). MSC: 47G10 47B35 60B20 15B52 45J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abdellaoui, Boumediene; Siclari, Giovanni; Primo, Ana Fujita exponent for non-local parabolic equation involving the Hardy-Leray potential. (English) Zbl 07901405 J. Evol. Equ. 24, No. 3, Paper No. 55, 37 p. (2024). MSC: 35B33 35B44 35K15 35K58 35R11 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Qiao, Leijie; Yan, Yubin Tempered nonlocal integrodifferential equations with nonsmooth solution data. (English) Zbl 07901103 Appl. Math. Lett. 158, Article ID 109213, 7 p. (2024). MSC: 65-XX 35R11 65M12 65M70 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Lianzi; Liang, Gechun A robust \(\alpha \)-stable central limit theorem under sublinear expectation without integrability condition. (English) Zbl 07900853 J. Theor. Probab. 37, No. 3, 2394-2424 (2024). MSC: 60F05 60G65 45K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
dos Prazeres, Disson; Sobral, Aelson; Urbano, José Miguel Cordes-Nirenberg type results for nonlocal equations with deforming kernels. (English) Zbl 07900802 J. Funct. Anal. 287, No. 9, Article ID 110593, 33 p. (2024). MSC: 35B65 35D40 35J96 35R09 45H05 35J96 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Nan; Zhang, Lingling; Liu, Tao; Liu, Hongwei Uniqueness solution and stability results for singular fractional Riemann-Stieltjes integral boundary problems. (English) Zbl 07900733 Bull. Sci. Math. 195, Article ID 103487, 29 p. (2024). MSC: 34A08 34B10 34B18 34D10 34B16 × Cite Format Result Cite Review PDF Full Text: DOI
Jandieri, George; Sanikidze, Zaza To the problem of turbulent diffusion instability. (English) Zbl 07900234 Bull. TICMI 28, No. 1, 33-40 (2024). MSC: 76F55 60H15 60J60 × Cite Format Result Cite Review PDF Full Text: Link
Jangveladze, Temur; Kiguradze, Zurab; Chkhikvadze, Teimuraz Application of deep neural network for numerical approximation for averaged nonlinear integro-differential equation. (English) Zbl 07900231 Bull. TICMI 28, No. 1, 3-10 (2024). MSC: 65R20 45K05 45J05 68T05 68T07 × Cite Format Result Cite Review PDF Full Text: Link
Weng, S. L.; Wang, Z. B. A high-order compact exponential scheme on graded meshes for the time fractional integro-differential convection-diffusion equation. (English) Zbl 07900177 Southeast Asian Bull. Math. 48, No. 3, 431-444 (2024). MSC: 65M06 65M12 65M15 35R11 × Cite Format Result Cite Review PDF Full Text: Link
Dzhumabaev, Dulat S.; Dzhumabaev, Anuar D.; Assanova, Anar T. Properties of a partial Fredholm integro-differential equations with nonlocal condition and algorithms. (English) Zbl 07900013 Mediterr. J. Math. 21, No. 6, Paper No. 169, 29 p. (2024). Reviewer: Joseph Shomberg (Providence) MSC: 45K05 45B05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, HongMing; Shao, Xinping; Zhang, ZhengFang; He, MingYan E-PINN: extended physics informed neural network for the forward and inverse problems of high-order nonlinear integro-differential equations. (English) Zbl 07899560 Int. J. Comput. Math. 101, No. 7, 732-749 (2024). MSC: 65R32 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Yige; Luo, Xianbing; Liu, Li-Bin A second order difference scheme on a Bakhvalov-type mesh for the singularly perturbed Volterra delay-integro-differential equation. (English) Zbl 07899239 Comput. Appl. Math. 43, No. 6, Paper No. 349, 16 p. (2024). MSC: 65L11 65L12 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Guotao; Feng, Meihua; Zhao, Xianghong; Yuan, Hualei Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative. (English) Zbl 07899053 Demonstr. Math. 57, Article ID 20240008, 13 p. (2024). MSC: 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bellido, José Carlos; Cueto, Javier; Foss, Mikil D.; Radu, Petronela Nonlocal Green theorems and Helmholtz decompositions for truncated fractional gradients. (English) Zbl 07898805 Appl. Math. Optim. 90, No. 1, Paper No. 16, 49 p. (2024). MSC: 26B20 31B10 35C15 41A35 42B20 45A05 45E10 45P05 46N20 47G10 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hıra, F. \(q\)-modified differential transform method. (English) Zbl 07897443 Comput. Math. Math. Phys. 64, No. 6, 1176-1185 (2024). MSC: 65L99 65R20 65R10 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Sreedharan, R.; Balachandar, S. Raja; Udhayakumar, R.; Etemad, Sina; Avcı, İbrahim; Rezapour, Shahram On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study. (English) Zbl 07897000 Bound. Value Probl. 2024, Paper No. 74, 18 p. (2024). MSC: 26A33 34G20 47G20 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Yanping; Chen, Zhenrong; Huang, Yunqing An hp-version of the discontinuous Galerkin method for fractional integro-differential equations with weakly singular kernels. (English) Zbl 07896744 BIT 64, No. 3, Paper No. 27, 23 p. (2024). MSC: 65R20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Ajileye, Ganiyu; Adiku, Lydia; Auta, Jonathan T.; Aduroja, Ojo O.; Oyedepo, Taiye Linear and nonlinear Fredholm integro-differential equations: application of collocation method for solution. (English) Zbl 07896720 J. Fract. Calc. Appl. 15, No. 2, Paper No. 6, 10 p. (2024). MSC: 34K10 34K28 42A10 65D05 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Rahimkhani, P.; Sedaghat, S.; Ordokhani, Y. An effective computational solver for fractal-fractional 2D integro-differential equations. (English) Zbl 07895379 J. Appl. Math. Comput. 70, No. 4, 3411-3440 (2024). MSC: 28A80 41A35 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Segni, Sami; Guebbai, Hamza; Kamouche, Somia; Haddouche, Khawla Nonlinear Volterra integro-differential equations incorporating a delay term using Picard iterated method. (English) Zbl 07895372 J. Appl. Math. Comput. 70, No. 4, 3235-3256 (2024). MSC: 45J05 45D05 45L05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Suthar, Meghana; Yadav, Sangita; Kumar, Sarvesh Mixed virtual element method for integro-differential equations of parabolic type. (English) Zbl 07895356 J. Appl. Math. Comput. 70, No. 4, 2827-2856 (2024). MSC: 65R20 45K05 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Tair, Boutheina; Slimani, Walid Solving higher-order nonlinear Volterra integro-differential equations using two discretization methods. (English) Zbl 07895354 J. Appl. Math. Comput. 70, No. 4, 2785-2807 (2024). MSC: 65R20 45J05 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Saou, Abdelmonaim; Sbibih, Driss; Tahrichi, Mohamed; Barrera, Domingo Spline quasi-interpolation numerical methods for integro-differential equations with weakly singular kernels. (English) Zbl 07895290 Math. Model. Anal. 29, No. 3, 442-459 (2024). MSC: 65R20 45G05 41A10 65D05 47H30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, ZhiPeng; Tao, DongYa; Zhang, Chao An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels. (English) Zbl 07895287 Math. Model. Anal. 29, No. 3, 387-405 (2024). MSC: 65R20 45D05 45G05 45J05 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Keyan Two-grid methods for nonlinear pseudo-parabolic integro-differential equations by finite element method. (English) Zbl 07894779 Comput. Math. Appl. 168, 174-189 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Maurya, Vikas; Singh, Ankit; Rajpoot, Manoj K. Implicit-explicit Runge-Kutta methods for pricing financial derivatives in state-dependent regime-switching jump-diffusion models. (English) Zbl 07893831 J. Appl. Math. Comput. 70, No. 2, 1601-1632 (2024). MSC: 91G60 65L06 91G20 60G40 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Tidke, Haribhau Laxman; Kharat, Vinod V. Some results on nonlinear fractional integro-differential equations with positive constant coefficient. (English) Zbl 07893482 J. Fract. Calc. Appl. 15, No. 1, Paper No. 8, 15 p. (2024). MSC: 26A33 34A08 34A12 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Fedorov, V. E.; Godova, A. D. Integro-differential equations in Banach spaces and analytic resolving families of operators. (English. Russian original) Zbl 07891534 J. Math. Sci., New York 283, No. 2, 317-334 (2024); translation from Sovrem. Mat., Fundam. Napravl. 69, No. 1, 166-184 (2023). MSC: 45J05 45N05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Georgievskii, D. V.; Rautian, N. A. Well-posed solvability of Volterra integro-differential equations arising in viscoelasticity theory. (English. Russian original) Zbl 07891413 Differ. Equ. 60, No. 4, 504-521 (2024); translation from Differ. Uravn. 60, No. 4, 533-549 (2024). MSC: 45K05 45D05 45P05 45M10 74D99 × Cite Format Result Cite Review PDF Full Text: DOI
Askhabov, S. N. Initial value problem for a third-order nonlinear integro-differential equation of convolution type. (English. Russian original) Zbl 07891412 Differ. Equ. 60, No. 4, 492-503 (2024); translation from Differ. Uravn. 60, No. 4, 521-532 (2024). MSC: 45J05 45E10 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Pi, ZhiPeng; Lai, Xin Polynomial solution of Cauchy-type singular integro-differential equations with bivariate kernels. (English) Zbl 07890879 J. Comput. Appl. Math. 451, Article ID 116038, 11 p. (2024). MSC: 65Rxx 45Exx 45Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Diao, Boubacar; Sy, Mamadou Existence results, regularity and compactness properties, in the \(\alpha\)-norm, for semilinear partial functional integrodifferential equations with nonlinear kernel and delay argument. (English) Zbl 07888183 Afr. Mat. 35, No. 3, Paper No. 54, 16 p. (2024). MSC: 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Litimein, Hamida; Litimein, Sara; Ouahab, Abdelghani; Huang, Zhen-You Approximate controllability of a coupled nonlocal partial functional integro-differential equations with impulsive effects. (English) Zbl 07888027 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 234, 37 p. (2024). Reviewer: Yong-Kui Chang (Xi’an) MSC: 93B05 93C23 93C25 34G20 34K30 34K10 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Ebrahimijahan, Ali; Ordokhani, Yadollah; Razzaghi, Mohsen Development of integrated radial basis function Kriging interpolation for linear and nonlinear parabolic integro-differential equations. (English) Zbl 07886218 Eng. Anal. Bound. Elem. 164, Article ID 105680, 15 p. (2024). MSC: 45A05 47G10 80M22 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Li-xiao; Yang, Chuan-fu Trace formula of the integro-differential operator on a quantum graph. (English) Zbl 07884884 Appl. Math., Ser. B (Engl. Ed.) 39, No. 2, 311-318 (2024). MSC: 34A55 34B05 34B45 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Mohammadi-Firouzjaei, Hadi; Adibi, Hojatollah; Dehghan, Mehdi Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels. (English) Zbl 07884773 Comput. Appl. Math. 43, No. 6, Paper No. 324, 19 p. (2024). MSC: 65M60 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Qin, Yu; Huang, Chengming An \(\boldsymbol{hp}\)-version error estimate of spectral collocation methods for weakly singular Volterra integro-differential equations with vanishing delays. (English) Zbl 07884750 Comput. Appl. Math. 43, No. 5, Paper No. 301, 32 p. (2024). MSC: 45D05 65R20 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Liwei; Guo, Hailong; Yang, Xu; Zhu, Yi Temporal difference learning for high-dimensional PIDEs with jumps. (English) Zbl 07883829 SIAM J. Sci. Comput. 46, No. 4, C349-C368 (2024). MSC: 65C30 65R20 60H20 60H35 60J76 45K05 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dipierro, Serena; Poggesi, Giorgio; Thompson, Jack; Valdinoci, Enrico Quantitative stability for overdetermined nonlocal problems with parallel surfaces and investigation of the stability exponents. (English. French summary) Zbl 07882134 J. Math. Pures Appl. (9) 188, 273-319 (2024). MSC: 35R11 35B50 35J65 35J61 35N25 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boykov, I. V.; Roudnev, V. A.; Boykova, A. I. Stability of solutions of systems of Volterra integral equations. (English) Zbl 07879837 Appl. Math. Comput. 475, Article ID 128728, 15 p. (2024). MSC: 45F05 45D05 45J05 45M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berezansky, Leonid; Domoshnitsky, Alexander; Kupervasser, Oleg Bounded solutions and exponential stability for linear integro-differential equations of Volterra type. (English) Zbl 07879160 Appl. Math. Lett. 154, Article ID 109112, 7 p. (2024). MSC: 45J05 45M10 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
De Cesare, Luigi; Sportelli, Mario A non-linear restatement of Kalecki’s business cycle model with non-constant capital depreciation. (English) Zbl 07878221 Comput. Appl. Math. 43, No. 5, Paper No. 282, 23 p. (2024). MSC: 34K20 34K18 91B55 × Cite Format Result Cite Review PDF Full Text: DOI
Bobodzhanov, Abdukhafiz Abdurasulovich; Bobodzhanova, Mashkhura Abdukhafizovna; Safonov, Valeriĭ Fedorovich Singularly perturbed problems with kernes depending on fundamental solutions of integro-differential equations. (Russian. English summary) Zbl 07878162 Differ. Uravn. Protsessy Upr. 2024, No. 2, 10-34 (2024). MSC: 45J05 34D15 34E15 × Cite Format Result Cite Review PDF Full Text: Link
Jumaev, J. J. Solvability of inverse problem for integro-differential heat equation with periodic and integral conditions. (English) Zbl 07877781 Uzb. Math. J. 68, No. 1, 77-83 (2024). MSC: 35R30 35R09 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
El Ghazouani, Aziz; Abdou Amir, Fouad Ibrahim; Elomari, M’hamed; Melliani, Said Fuzzy neutral fractional integro-differential equation existence and stability results involving the Caputo fractional generalized Hukuhara derivative. (English) Zbl 07877767 J. Nonlinear Complex Data Sci. 25, No. 1, 53-78 (2024). MSC: 34-XX 45-XX × Cite Format Result Cite Review PDF Full Text: DOI
Rathore, Ajay Singh; Shanthi, Vembu A numerical solution of singularly perturbed Fredholm integro-differential equation with discontinuous source term. (English) Zbl 07876173 J. Comput. Appl. Math. 446, Article ID 115858, 12 p. (2024). MSC: 65L10 65L12 65R20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Mei, Yusha; Cui, Mingrong; Zeng, Fanhai A time two-grid algorithm for two-dimensional nonlinear time-fractional partial integro-differential equations. (English) Zbl 07875927 Math. Comput. Simul. 221, 550-569 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Harkat, Lamia; Bessioud, Karima; Ardjouni, Abdelouaheb Existence and Ulam stability of mild solutions for nonlinear fractional integro-differential equations in a Banach space. (English) Zbl 07875538 São Paulo J. Math. Sci. 18, No. 1, 258-276 (2024). MSC: 34K30 34K37 34K27 45J05 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Deka, Simasri; Das, Anupam; Deuri, Bhuban Chandra Existence of solutions of infinite system of hybrid fractional integro-differential equation. (English) Zbl 07875537 São Paulo J. Math. Sci. 18, No. 1, 231-257 (2024). MSC: 45J05 45G10 47H08 47H10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Yong-Ki; Kavitha, K.; Shukla, Anurag; Vijayakumar, V.; Nisar, Kottakkaran Sooppy An analysis on the optimal control and approximate controllability for Hilfer fractional neutral integro-differential systems with finite delay. (English) Zbl 07874710 Optim. Control Appl. Methods 45, No. 3, 1086-1107 (2024). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Menghan; Xie, Xiaoping A hybrid stress finite element method for integro-differential equations modelling dynamic fractional order viscoelasticity. (English) Zbl 07874380 Int. J. Numer. Anal. Model. 21, No. 2, 221-243 (2024). MSC: 65-XX 35Q74 35R09 65M12 65M60 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Mao, Yicen; Yang, Jie; Su, Yu Standing waves for Choquard equation with noncritical rotation. (English) Zbl 07873688 Adv. Nonlinear Anal. 13, Article ID 20230140, 36 p. (2024). MSC: 47G20 35R11 35A15 46E30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zakora, D. A. Asymptotic behavior of solutions of a complete second-order integro-differential equation. (English. Russian original) Zbl 07872267 J. Math. Sci., New York 282, No. 3, 362-377 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No, 3, 451-466 (2022). MSC: 35B40 35L90 35R09 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Irandoust-Pakchin, Safar; Abdi-Mazraeh, Somaiyeh; Adel, Mohamed Application of flatlet oblique multiwavelets to solve the fractional stochastic integro-differential equation using Galerkin method. (English) Zbl 07871978 Math. Methods Appl. Sci. 47, No. 11, 8342-8365 (2024). MSC: 65M70 26A33 65T60 34Axx × Cite Format Result Cite Review PDF Full Text: DOI
Makoveeva, Eugenya V.; Ivanov, Alexander A. Analysis of an integro-differential model for bulk continuous crystallization with account of impurity feeding, dissolution/growth of nuclei and removal of product crystals. (English) Zbl 07871682 Math. Methods Appl. Sci. 47, No. 8, 6789-6797 (2024). MSC: 82C26 × Cite Format Result Cite Review PDF Full Text: DOI
Jameel, Saif Aldeen M.; Rahman, Saja Abdul; Hamoud, Ahmed A. Analysis of Hilfer fractional Volterra-Fredholm system. (English) Zbl 07868042 Nonlinear Funct. Anal. Appl. 29, No. 1, 259-273 (2024). MSC: 45J05 45D05 45B05 26A33 × Cite Format Result Cite Review PDF Full Text: Link