Alomari, Abedel-Karrem; Abdeljawad, Thabet; Baleanu, Dumitru; Saad, Khaled M.; Al-Mdallal, Qasem M. Numerical solutions of fractional parabolic equations with generalized Mittag-Leffler kernels. (English) Zbl 07798402 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22699, 25 p. (2024). MSC: 65L05 26A33 PDFBibTeX XMLCite \textit{A.-K. Alomari} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22699, 25 p. (2024; Zbl 07798402) Full Text: DOI
Sarwar, Shahzad; Aleem, Maryam; Imran, Muhammad Asjad; Akgül, Ali A comparative study on non-Newtonian fractional-order Brinkman type fluid with two different kernels. (English) Zbl 07798393 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22688, 43 p. (2024). MSC: 65L10 26A33 80A19 PDFBibTeX XMLCite \textit{S. Sarwar} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22688, 43 p. (2024; Zbl 07798393) Full Text: DOI
Bouloudene, Mokhtar; Jarad, Fahd; Adjabi, Yassine; Panda, Sumati Kumari Quasilinear coupled system in the frame of nonsingular ABC-derivatives with \(p\)-Laplacian operator at resonance. (English) Zbl 07783807 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 47, 29 p. (2024). MSC: 26A33 34A08 34B10 34B15 47H10 47H11 PDFBibTeX XMLCite \textit{M. Bouloudene} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 47, 29 p. (2024; Zbl 07783807) Full Text: DOI
Khalouta, A. Existence and uniqueness of solution for Caputo-Fabrizio fractional Bratu-type initial value problem. (English) Zbl 07788786 Azerb. J. Math. 13, No. 1, 96-112 (2023). MSC: 34A08 26A33 34A12 47H10 PDFBibTeX XMLCite \textit{A. Khalouta}, Azerb. J. Math. 13, No. 1, 96--112 (2023; Zbl 07788786) Full Text: Link
Li, Xuexin; Wang, Jianwei; Pan, Ning Inequalities for integral operators in Hölder-Morrey spaces on differential forms. (English) Zbl 07778068 J. Inequal. Appl. 2023, Paper No. 71, 15 p. (2023). MSC: 26D10 45P05 PDFBibTeX XMLCite \textit{X. Li} et al., J. Inequal. Appl. 2023, Paper No. 71, 15 p. (2023; Zbl 07778068) Full Text: DOI
Amiri Kayvanloo, Hojjatollah; Mursaleen, Mohammad; Mehrabinezhad, Mohammad; Pouladi Najafabadi, Farzaneh Solvability of some fractional differential equations in the Hölder space \(\mathcal{H}_{\gamma}(\mathbb{R_+})\) and their numerical treatment via measures of noncompactness. (English) Zbl 1527.47005 Math. Sci., Springer 17, No. 4, 387-397 (2023). MSC: 47H10 47H08 34A08 45E10 26A33 PDFBibTeX XMLCite \textit{H. Amiri Kayvanloo} et al., Math. Sci., Springer 17, No. 4, 387--397 (2023; Zbl 1527.47005) Full Text: DOI
Liu, Yue; Zhao, Zhen; Zhang, Yanni; Pang, Jing Approximate solutions to fractional differential equations. (English) Zbl 1528.76027 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 10, 1791-1802 (2023). MSC: 76D99 76M45 26A33 PDFBibTeX XMLCite \textit{Y. Liu} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 10, 1791--1802 (2023; Zbl 1528.76027) Full Text: DOI
Kucharz, Wojciech Approximation and homotopy in regulous geometry. (English) Zbl 07771561 Compos. Math. 160, No. 1, 1-20 (2023). Reviewer: Aris Daniilidis (Wien) MSC: 14P05 26C15 14P25 57R99 PDFBibTeX XMLCite \textit{W. Kucharz}, Compos. Math. 160, No. 1, 1--20 (2023; Zbl 07771561) Full Text: DOI arXiv
Alomari, A. K.; Shraideh, Rula Approximate solution of fractional Allen-Cahn equation by the Mittag-Leffler type kernels. (English) Zbl 07747498 Jordan J. Math. Stat. 16, No. 3, 535-549 (2023). MSC: 65D15 26A33 35R11 PDFBibTeX XMLCite \textit{A. K. Alomari} and \textit{R. Shraideh}, Jordan J. Math. Stat. 16, No. 3, 535--549 (2023; Zbl 07747498) Full Text: DOI
Pandey, S. C.; Raturi, A. K. On solutions to the arms race model using some techniques of fractional calculus. (English) Zbl 07743256 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 45-60 (2023). MSC: 34C60 91D99 34A08 26A33 34A45 PDFBibTeX XMLCite \textit{S. C. Pandey} and \textit{A. K. Raturi}, J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 45--60 (2023; Zbl 07743256) Full Text: DOI Link
Ahmad, Shabir; Saifullah, Sayed Analysis of the seventh-order Caputo fractional KdV equation: applications to the Sawada-Kotera-Ito and Lax equations. (English) Zbl 1519.35351 Commun. Theor. Phys. 75, No. 8, Article ID 085002, 11 p. (2023). MSC: 35R11 35Q53 26A33 PDFBibTeX XMLCite \textit{S. Ahmad} and \textit{S. Saifullah}, Commun. Theor. Phys. 75, No. 8, Article ID 085002, 11 p. (2023; Zbl 1519.35351) Full Text: DOI
Malik, Pradeep; Deepika Stability analysis of fractional order modelling of social media addiction. (English) Zbl 07723697 Math. Found. Comput. 6, No. 4, 670-690 (2023). MSC: 92D30 91D30 26A33 34D20 PDFBibTeX XMLCite \textit{P. Malik} and \textit{Deepika}, Math. Found. Comput. 6, No. 4, 670--690 (2023; Zbl 07723697) Full Text: DOI
Jan, Himayat Ullah; Ullah, Hakeem; Fiza, Mehreen; Khan, Ilyas; Mohamed, Abdullah; Mousa, Abd Allah A. Modification of optimal homotopy asymptotic method for multi-dimensional time-fractional model of Navier-Stokes equation. (English) Zbl 1521.35135 Fractals 31, No. 2, Article ID 2340021, 19 p. (2023). MSC: 35Q30 76D05 35B40 35A20 44A10 26A33 35R11 PDFBibTeX XMLCite \textit{H. U. Jan} et al., Fractals 31, No. 2, Article ID 2340021, 19 p. (2023; Zbl 1521.35135) Full Text: DOI
Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups. (English) Zbl 1514.58003 J. Funct. Anal. 285, No. 2, Article ID 109944, 48 p. (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 58A10 35R03 26D15 46E35 PDFBibTeX XMLCite \textit{A. Baldi} et al., J. Funct. Anal. 285, No. 2, Article ID 109944, 48 p. (2023; Zbl 1514.58003) Full Text: DOI arXiv
Jongeneel, Wouter; Schwan, Roland On continuation and convex Lyapunov functions. arXiv:2301.05932 Preprint, arXiv:2301.05932 [math.OC] (2023). MSC: 26B25 37C15 55P10 93D05 BibTeX Cite \textit{W. Jongeneel} and \textit{R. Schwan}, ``On continuation and convex Lyapunov functions'', Preprint, arXiv:2301.05932 [math.OC] (2023) Full Text: arXiv OA License
Ghosh, Uttam; Das, Tapas; Sarkar, Susmita Homotopy analysis method and time-fractional NLSE with double cosine, Morse, and new hyperbolic potential traps. (English) Zbl 1525.35229 Russ. J. Nonlinear Dyn. 18, No. 2, 309-328 (2022). MSC: 35R11 35A22 35Q55 26A33 PDFBibTeX XMLCite \textit{U. Ghosh} et al., Russ. J. Nonlinear Dyn. 18, No. 2, 309--328 (2022; Zbl 1525.35229) Full Text: DOI MNR
Shyamsunder; Bhatter, Sanjay; Jangid, Kamlesh; Purohit, Sunil Dutt A study of the hepatitis B virus infection using Hilfer fractional derivative. (English) Zbl 1519.92305 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 100-117 (2022). MSC: 92D30 26A33 44A35 PDFBibTeX XMLCite \textit{Shyamsunder} et al., Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, 100--117 (2022; Zbl 1519.92305) Full Text: DOI
Khalouta, Ali A novel iterative method to solve nonlinear wave-like equations of fractional order with variable coefficients. (English) Zbl 1516.35462 Rev. Colomb. Mat. 56, No. 1, 13-34 (2022). MSC: 35R11 35L05 26A33 35A22 PDFBibTeX XMLCite \textit{A. Khalouta}, Rev. Colomb. Mat. 56, No. 1, 13--34 (2022; Zbl 1516.35462) Full Text: DOI
Mohapatra, Jugal; Panda, Abhilipsa; Reddy, Narahari Raji A comparative study on some semi-analytical methods for the solutions of fractional partial integro-differential equations. (English) Zbl 1524.35707 Fract. Differ. Calc. 12, No. 2, 223-233 (2022). MSC: 35R11 35R09 65R20 26A33 PDFBibTeX XMLCite \textit{J. Mohapatra} et al., Fract. Differ. Calc. 12, No. 2, 223--233 (2022; Zbl 1524.35707) Full Text: DOI
Bokhari, Ahmed; Baleanu, Dumitru; Belgacem, Rachid Regularized Prabhakar derivative for partial differential equations. (English) Zbl 07665251 Comput. Methods Differ. Equ. 10, No. 3, 726-737 (2022). MSC: 35R11 26A33 65R10 33E12 35A22 PDFBibTeX XMLCite \textit{A. Bokhari} et al., Comput. Methods Differ. Equ. 10, No. 3, 726--737 (2022; Zbl 07665251) Full Text: DOI
Xu, Bo; Zhang, Sheng Modified homotopy perturbation method and approximate solutions to a class of local fractional integrodifferential equations. (English) Zbl 1518.65148 Adv. Math. Phys. 2022, Article ID 7087481, 8 p. (2022). MSC: 65R20 45J05 26A33 PDFBibTeX XMLCite \textit{B. Xu} and \textit{S. Zhang}, Adv. Math. Phys. 2022, Article ID 7087481, 8 p. (2022; Zbl 1518.65148) Full Text: DOI
Qayyum, Mubashir; Ismail, Farnaz; Shah, Syed Inayat Ali; Sohail, Muhammad; Asogwa, Kanayo Kenneth; Zohra, Fatema Tuz Analysis of fractional thin film flow of third grade fluid in lifting and drainage via homotopy perturbation procedure. (English) Zbl 1507.76015 Adv. Math. Phys. 2022, Article ID 2847993, 10 p. (2022). MSC: 76A20 76A05 76M45 26A33 PDFBibTeX XMLCite \textit{M. Qayyum} et al., Adv. Math. Phys. 2022, Article ID 2847993, 10 p. (2022; Zbl 1507.76015) Full Text: DOI
Liaqat, Muhammad Imran; Akgül, Ali A novel approach for solving linear and nonlinear time-fractional Schrödinger equations. (English) Zbl 1506.35268 Chaos Solitons Fractals 162, Article ID 112487, 20 p. (2022). MSC: 35R11 35Q55 26A33 PDFBibTeX XMLCite \textit{M. I. Liaqat} and \textit{A. Akgül}, Chaos Solitons Fractals 162, Article ID 112487, 20 p. (2022; Zbl 1506.35268) Full Text: DOI
Mohamed, Mohamed. Z.; Yousif, Mohammed; Hamza, Amjad E. Solving nonlinear fractional partial differential equations using the Elzaki transform method and the homotopy perturbation method. (English) Zbl 1502.35195 Abstr. Appl. Anal. 2022, Article ID 4743234, 9 p. (2022). MSC: 35R11 26A33 65M06 PDFBibTeX XMLCite \textit{Mohamed. Z. Mohamed} et al., Abstr. Appl. Anal. 2022, Article ID 4743234, 9 p. (2022; Zbl 1502.35195) Full Text: DOI
Tappenden, Paul Pilot-Wave theory without nonlocality. (English) Zbl 1512.81042 Found. Phys. 52, No. 5, Paper No. 107, 15 p. (2022). MSC: 81Q65 81Q70 83F05 55P60 81V22 26B40 81P16 81P15 00A79 PDFBibTeX XMLCite \textit{P. Tappenden}, Found. Phys. 52, No. 5, Paper No. 107, 15 p. (2022; Zbl 1512.81042) Full Text: DOI arXiv
Murad, Muhammad Amin Sadiq Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients. (English) Zbl 1513.65432 Appl. Math., Ser. B (Engl. Ed.) 37, No. 3, 404-414 (2022). MSC: 65M99 44A10 35B20 26A33 35R11 35K35 PDFBibTeX XMLCite \textit{M. A. S. Murad}, Appl. Math., Ser. B (Engl. Ed.) 37, No. 3, 404--414 (2022; Zbl 1513.65432) Full Text: DOI
Shokhanda, Rachana; Goswami, Pranay Solution of generalized fractional Burgers equation with a nonlinear term. (English) Zbl 1524.34025 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 235, 14 p. (2022). MSC: 34A08 34A34 65M06 26A33 PDFBibTeX XMLCite \textit{R. Shokhanda} and \textit{P. Goswami}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 235, 14 p. (2022; Zbl 1524.34025) Full Text: DOI
Çetinkaya, Süleyman; Demir, Ali Solutions of fuzzy time fractional heat equation. (English) Zbl 1524.35681 J. Math. Ext. 16, No. 6, Paper No. 3, 17 p. (2022). MSC: 35R11 26A33 44A05 PDFBibTeX XMLCite \textit{S. Çetinkaya} and \textit{A. Demir}, J. Math. Ext. 16, No. 6, Paper No. 3, 17 p. (2022; Zbl 1524.35681) Full Text: DOI
Das, Anupam; Rabbani, Mohsen; Mohiuddine, S. A.; Deuri, Bhuban Chandra Iterative algorithm and theoretical treatment of existence of solution for \((k, z)\)-Riemann-Liouville fractional integral equations. (English) Zbl 1496.45005 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 39, 16 p. (2022). Reviewer: Yogesh Sharma (Sardarpura) MSC: 45G15 46B45 47H08 47H10 47N20 26A33 PDFBibTeX XMLCite \textit{A. Das} et al., J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 39, 16 p. (2022; Zbl 1496.45005) Full Text: DOI
Dubey, Ved Prakash; Singh, Jagdev; Alshehri, Ahmed M.; Dubey, Sarvesh; Kumar, Devendra Numerical investigation of fractional model of phytoplankton-toxic phytoplankton-zooplankton system with convergence analysis. (English) Zbl 1492.92129 Int. J. Biomath. 15, No. 4, Article ID 2250006, 52 p. (2022). MSC: 92D40 26A33 PDFBibTeX XMLCite \textit{V. P. Dubey} et al., Int. J. Biomath. 15, No. 4, Article ID 2250006, 52 p. (2022; Zbl 1492.92129) Full Text: DOI
Panda, A.; Santra, S.; Mohapatra, J. Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations. (English) Zbl 1490.35523 J. Appl. Math. Comput. 68, No. 3, 2065-2082 (2022). MSC: 35R11 35R09 35A22 65R20 26A33 PDFBibTeX XMLCite \textit{A. Panda} et al., J. Appl. Math. Comput. 68, No. 3, 2065--2082 (2022; Zbl 1490.35523) Full Text: DOI
Naik, Parvaiz Ahmad; Ghoreishi, Mohammad; Zu, Jian Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method. (English) Zbl 1513.92083 Int. J. Numer. Anal. Model. 19, No. 1, 52-84 (2022). MSC: 92D30 26A33 34D20 PDFBibTeX XMLCite \textit{P. A. Naik} et al., Int. J. Numer. Anal. Model. 19, No. 1, 52--84 (2022; Zbl 1513.92083) Full Text: Link
Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre Poincaré and Sobolev inequalities for differential forms in Heisenberg groups and contact manifolds. (English) Zbl 1497.58001 J. Inst. Math. Jussieu 21, No. 3, 869-920 (2022). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 58A10 35R03 53D10 26D15 43A80 46E35 PDFBibTeX XMLCite \textit{A. Baldi} et al., J. Inst. Math. Jussieu 21, No. 3, 869--920 (2022; Zbl 1497.58001) Full Text: DOI
Arfan, Muhammad; Shah, Kamal; Ullah, Aman; Salahshour, Soheil; Ahmadian, Ali; Ferrara, Massimiliano A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform. (English) Zbl 1492.35419 Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 315-338 (2022). MSC: 35R13 35R11 26A33 34A07 35L05 PDFBibTeX XMLCite \textit{M. Arfan} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 315--338 (2022; Zbl 1492.35419) Full Text: DOI
Shah, Nehad Ali; Agarwal, Praveen; Chung, Jae Dong; Althobaiti, Saad; Sayed, Samy; Aljohani, A. F.; Alkafafy, Mohamed Analysis of time-fractional Burgers and diffusion equations by using modified \(q\)-HATM. (English) Zbl 07490648 Fractals 30, No. 1, Article ID 2240012, 12 p. (2022). MSC: 65Mxx 26Axx 35Rxx PDFBibTeX XMLCite \textit{N. A. Shah} et al., Fractals 30, No. 1, Article ID 2240012, 12 p. (2022; Zbl 07490648) Full Text: DOI
Fariborzi Araghi, Mohammad Ali; Noeiaghdam, Samad Finding optimal results in the homotopy analysis method to solve fuzzy integral equations. (English) Zbl 1483.65215 Allahviranloo, Tofigh (ed.) et al., Advances in fuzzy integral and differential equations. Cham: Springer. Stud. Fuzziness Soft Comput. 412, 173-195 (2022). MSC: 65R20 26E50 45B05 45D05 65H20 PDFBibTeX XMLCite \textit{M. A. Fariborzi Araghi} and \textit{S. Noeiaghdam}, Stud. Fuzziness Soft Comput. 412, 173--195 (2022; Zbl 1483.65215) Full Text: DOI
Das, Pratibhamoy; Rana, Subrata; Ramos, Higinio On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis. (English) Zbl 1481.65265 J. Comput. Appl. Math. 404, Article ID 113116, 15 p. (2022). MSC: 65R20 45J05 45D05 26A33 PDFBibTeX XMLCite \textit{P. Das} et al., J. Comput. Appl. Math. 404, Article ID 113116, 15 p. (2022; Zbl 1481.65265) Full Text: DOI
Devi, Anju; Jakhar, Manjeet Mathematical study of fractional diabetes model via a modified analytical method. (English) Zbl 07750574 Jñānābha 51, No. 1, 34-41 (2021). MSC: 26A33 92B05 92C60 34A08 34A34 PDFBibTeX XMLCite \textit{A. Devi} and \textit{M. Jakhar}, Jñānābha 51, No. 1, 34--41 (2021; Zbl 07750574) Full Text: DOI
Cetinkaya, Suleyman; Demir, Ali; Baleanu, Dumitru Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives. (English) Zbl 07674974 An. Univ. Craiova, Ser. Mat. Inf. 48, No. 2, 334-348 (2021). MSC: 35R11 26A33 35Q84 PDFBibTeX XMLCite \textit{S. Cetinkaya} et al., An. Univ. Craiova, Ser. Mat. Inf. 48, No. 2, 334--348 (2021; Zbl 07674974) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Magesh, N.; Nandeppanavar, M. M.; Christopher, A. John Numerical simulation for fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques. (English) Zbl 1504.76062 Waves Random Complex Media 31, No. 6, 1141-1162 (2021). MSC: 76M99 76X05 26A33 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Waves Random Complex Media 31, No. 6, 1141--1162 (2021; Zbl 1504.76062) Full Text: DOI arXiv
Lu, Junfeng; Sun, Yi Numerical approaches to time fractional Boussinesq-Burgers equations. (English) Zbl 1506.35201 Fractals 29, No. 8, Article ID 2150244, 10 p. (2021). MSC: 35Q53 35Q35 35A22 35B20 26A33 35R11 65M99 PDFBibTeX XMLCite \textit{J. Lu} and \textit{Y. Sun}, Fractals 29, No. 8, Article ID 2150244, 10 p. (2021; Zbl 1506.35201) Full Text: DOI
Akinyemi, Lanre; Şenol, Mehmet; Huseen, Shaheed N. Modified homotopy methods for generalized fractional perturbed Zakharov-Kuznetsov equation in dusty plasma. (English) Zbl 1487.65129 Adv. Difference Equ. 2021, Paper No. 45, 27 p. (2021). MSC: 65M25 65H20 35R11 26A33 PDFBibTeX XMLCite \textit{L. Akinyemi} et al., Adv. Difference Equ. 2021, Paper No. 45, 27 p. (2021; Zbl 1487.65129) Full Text: DOI
Goyal, Manish; Prakash, Amit; Gupta, Shivangi An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense. (English) Zbl 1496.74064 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 156, 18 p. (2021). MSC: 74H45 74K15 74S40 74H10 26A33 PDFBibTeX XMLCite \textit{M. Goyal} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 156, 18 p. (2021; Zbl 1496.74064) Full Text: DOI
Akinyemi, Lanre; Iyiola, Olaniyi S. Analytical study of \((3+1)\)-dimensional fractional-reaction diffusion trimolecular models. (English) Zbl 1499.35612 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 92, 24 p. (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{L. Akinyemi} and \textit{O. S. Iyiola}, Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 92, 24 p. (2021; Zbl 1499.35612) Full Text: DOI
Shah, Nehad Ali; El-Zahar, Essam R.; Aljoufi, Mona D.; Chung, Jae Dong An efficient approach for solution of fractional-order Helmholtz equations. (English) Zbl 1485.35407 Adv. Difference Equ. 2021, Paper No. 14, 15 p. (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{N. A. Shah} et al., Adv. Difference Equ. 2021, Paper No. 14, 15 p. (2021; Zbl 1485.35407) Full Text: DOI
Wang, Kang-Le; Wang, Hao A novel variational approach for fractal Ginzburg-Landau equation. (English) Zbl 1496.65195 Fractals 29, No. 7, Article ID 2150205, 7 p. (2021). MSC: 65M99 28A80 26A33 35R11 35A15 35Q56 PDFBibTeX XMLCite \textit{K.-L. Wang} and \textit{H. Wang}, Fractals 29, No. 7, Article ID 2150205, 7 p. (2021; Zbl 1496.65195) Full Text: DOI
Khan, Imran; Ullah, Hakeem; AlSalman, Hussain; Fiza, Mehreen; Islam, Saeed; Shoaib, Muhammad; Raja, Muhammad Asif Zahoor; Gumaei, Abdu; Ikhlaq, Farkhanda Fractional analysis of MHD boundary layer flow over a stretching sheet in porous medium: a new stochastic method. (English) Zbl 1495.76132 J. Funct. Spaces 2021, Article ID 5844741, 19 p. (2021). MSC: 76W05 76S05 76M35 76M45 26A33 68T05 PDFBibTeX XMLCite \textit{I. Khan} et al., J. Funct. Spaces 2021, Article ID 5844741, 19 p. (2021; Zbl 1495.76132) Full Text: DOI
Oliveira, D. S.; de Oliveira, E. Capelas Analytical solutions for Navier-Stokes equations with Caputo fractional derivative. (English) Zbl 1487.35302 S\(\vec{\text{e}}\)MA J. 78, No. 1, 137-154 (2021). MSC: 35Q30 76D05 26A33 35G10 35R11 PDFBibTeX XMLCite \textit{D. S. Oliveira} and \textit{E. C. de Oliveira}, S\(\vec{\text{e}}\)MA J. 78, No. 1, 137--154 (2021; Zbl 1487.35302) Full Text: DOI arXiv
Ray, Santanu Saha; Giri, Subodha New soliton solutions of the time fractional Drinfeld-Sokolov-Satsuma-Hirota system in dispersive water waves. (English) Zbl 1484.35130 Math. Methods Appl. Sci. 44, No. 18, 14217-14235 (2021). MSC: 35C08 35R11 26A33 34A08 PDFBibTeX XMLCite \textit{S. S. Ray} and \textit{S. Giri}, Math. Methods Appl. Sci. 44, No. 18, 14217--14235 (2021; Zbl 1484.35130) Full Text: DOI
Ali, Zeeshan; Nia, Shayan Naseri; Rabiei, Faranak; Shah, Kamal; Tan, Ming Kwang A semianalytical approach to the solution of time-fractional Navier-Stokes equation. (English) Zbl 1481.76066 Adv. Math. Phys. 2021, Article ID 5547804, 13 p. (2021). MSC: 76D05 76M45 26A33 PDFBibTeX XMLCite \textit{Z. Ali} et al., Adv. Math. Phys. 2021, Article ID 5547804, 13 p. (2021; Zbl 1481.76066) Full Text: DOI
Goswami, Amit; Rathore, Sushila; Singh, Jagdev; Kumar, Devendra Analytical study of fractional nonlinear Schrödinger equation with harmonic oscillator. (English) Zbl 1477.35004 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3589-3610 (2021). MSC: 35A22 26A33 35Q55 35R11 PDFBibTeX XMLCite \textit{A. Goswami} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3589--3610 (2021; Zbl 1477.35004) Full Text: DOI
Aljhani, Sami; Noorani, Mohd Salmi Md; Saad, Khaled M.; Alomari, A. K. Numerical solutions of certain new models of the time-fractional Gray-Scott. (English) Zbl 1500.65089 J. Funct. Spaces 2021, Article ID 2544688, 12 p. (2021). MSC: 65M99 65H20 35K57 26A33 35R11 35Q79 PDFBibTeX XMLCite \textit{S. Aljhani} et al., J. Funct. Spaces 2021, Article ID 2544688, 12 p. (2021; Zbl 1500.65089) Full Text: DOI
Mukhamadiev, E.; Naimov, A. N. On the homotopy classification of positively homogeneous functions of three variables. (English) Zbl 1478.26002 Probl. Anal. Issues Anal. 10(28), No. 2, 67-78 (2021). Reviewer: Atasi Deb Ray (Kolkata) MSC: 26A21 26B05 54C50 PDFBibTeX XMLCite \textit{E. Mukhamadiev} and \textit{A. N. Naimov}, Probl. Anal. Issues Anal. 10(28), No. 2, 67--78 (2021; Zbl 1478.26002) Full Text: DOI MNR
Mesdoui, Fatiha; Shawagfeh, Nabil; Ouannas, Adel Global synchronization of fractional-order and integer-order \(N\) component reaction diffusion systems: application to biochemical models. (English) Zbl 1476.37109 Math. Methods Appl. Sci. 44, No. 1, 1003-1012 (2021). MSC: 37N35 35K57 26A33 34D20 PDFBibTeX XMLCite \textit{F. Mesdoui} et al., Math. Methods Appl. Sci. 44, No. 1, 1003--1012 (2021; Zbl 1476.37109) Full Text: DOI
Veeresha, P.; Prakasha, D. G. Novel approach for modified forms of Camassa-Holm and Degasperis-Procesi equations using fractional operator. (English) Zbl 1520.35166 Commun. Theor. Phys. 72, No. 10, Article ID 105002, 7 p. (2020). MSC: 35R11 35Q51 44A10 26A33 PDFBibTeX XMLCite \textit{P. Veeresha} and \textit{D. G. Prakasha}, Commun. Theor. Phys. 72, No. 10, Article ID 105002, 7 p. (2020; Zbl 1520.35166) Full Text: DOI
Kumar, Sunil; Kumar, Amit; Abbas, Syed; Al Qurashi, Maysaa; Baleanu, Dumitru A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations. (English) Zbl 1487.35410 Adv. Difference Equ. 2020, Paper No. 28, 18 p. (2020). MSC: 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{S. Kumar} et al., Adv. Difference Equ. 2020, Paper No. 28, 18 p. (2020; Zbl 1487.35410) Full Text: DOI
Chaudhary, Manish; Kumar, Rohit; Singh, Mritunjay Kumar Fractional convection-dispersion equation with conformable derivative approach. (English) Zbl 1496.35421 Chaos Solitons Fractals 141, Article ID 110426, 16 p. (2020). MSC: 35R11 26A24 86A04 PDFBibTeX XMLCite \textit{M. Chaudhary} et al., Chaos Solitons Fractals 141, Article ID 110426, 16 p. (2020; Zbl 1496.35421) Full Text: DOI
Rabbani, Mohsen; Das, Anupam; Hazarika, Bipan; Arab, Reza Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations. (English) Zbl 1502.47067 Chaos Solitons Fractals 140, Article ID 110221, 8 p. (2020). MSC: 47H08 47N20 34A08 26A33 PDFBibTeX XMLCite \textit{M. Rabbani} et al., Chaos Solitons Fractals 140, Article ID 110221, 8 p. (2020; Zbl 1502.47067) Full Text: DOI
Rezapour, Shahram; Etemad, Sina; Mohammadi, Hakimeh A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals. (English) Zbl 1486.92273 Adv. Difference Equ. 2020, Paper No. 481, 30 p. (2020). MSC: 92D30 92D40 34A08 26A33 PDFBibTeX XMLCite \textit{S. Rezapour} et al., Adv. Difference Equ. 2020, Paper No. 481, 30 p. (2020; Zbl 1486.92273) Full Text: DOI
Srivastava, H. M.; Dubey, V. P.; Kumar, R.; Singh, J.; Kumar, D.; Baleanu, D. An efficient computational approach for a fractional-order biological population model with carrying capacity. (English) Zbl 1490.92052 Chaos Solitons Fractals 138, Article ID 109880, 13 p. (2020). MSC: 92D25 26A33 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Chaos Solitons Fractals 138, Article ID 109880, 13 p. (2020; Zbl 1490.92052) Full Text: DOI
Gao, Wei; Veeresha, P.; Prakasha, D. G.; Baskonus, Haci Mehmet; Yel, Gulnur New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function. (English) Zbl 1483.92078 Chaos Solitons Fractals 134, Article ID 109696, 11 p. (2020). MSC: 92C50 92D30 65H20 34A08 26A33 PDFBibTeX XMLCite \textit{W. Gao} et al., Chaos Solitons Fractals 134, Article ID 109696, 11 p. (2020; Zbl 1483.92078) Full Text: DOI
Hosseini, K.; Ilie, M.; Mirzazadeh, M.; Baleanu, D. A detailed study on a new \((2 + 1)\)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative. (English) Zbl 1485.35390 Adv. Difference Equ. 2020, Paper No. 331, 13 p. (2020). MSC: 35R11 26A33 35Q53 47N20 PDFBibTeX XMLCite \textit{K. Hosseini} et al., Adv. Difference Equ. 2020, Paper No. 331, 13 p. (2020; Zbl 1485.35390) Full Text: DOI
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. (English) Zbl 1485.37075 Adv. Difference Equ. 2020, Paper No. 299, 27 p. (2020). MSC: 37N25 34A08 26A33 92D30 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 299, 27 p. (2020; Zbl 1485.37075) Full Text: DOI
Alomari, A. K. Homotopy-Sumudu transforms for solving system of fractional partial differential equations. (English) Zbl 1482.35241 Adv. Difference Equ. 2020, Paper No. 222, 16 p. (2020). MSC: 35R11 26A33 34A08 PDFBibTeX XMLCite \textit{A. K. Alomari}, Adv. Difference Equ. 2020, Paper No. 222, 16 p. (2020; Zbl 1482.35241) Full Text: DOI
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model. (English) Zbl 1482.34017 Adv. Difference Equ. 2020, Paper No. 184, 19 p. (2020). MSC: 34A08 26A33 92D30 47N20 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 184, 19 p. (2020; Zbl 1482.34017) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Singh, Jagdev; Khan, Ilyas; Kumar, Devendra Analytical approach for fractional extended Fisher-Kolmogorov equation with Mittag-Leffler kernel. (English) Zbl 1482.35257 Adv. Difference Equ. 2020, Paper No. 174, 17 p. (2020). MSC: 35R11 26A33 47N20 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Adv. Difference Equ. 2020, Paper No. 174, 17 p. (2020; Zbl 1482.35257) Full Text: DOI
Akinyemi, Lanre; Iyiola, Olaniyi S. A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations. (English) Zbl 1482.35200 Adv. Difference Equ. 2020, Paper No. 169, 27 p. (2020). MSC: 35Q53 35R11 26A33 PDFBibTeX XMLCite \textit{L. Akinyemi} and \textit{O. S. Iyiola}, Adv. Difference Equ. 2020, Paper No. 169, 27 p. (2020; Zbl 1482.35200) Full Text: DOI
Prathumwan, Din; Trachoo, Kamonchat On the solution of two-dimensional fractional Black-Scholes equation for European put option. (English) Zbl 1482.91206 Adv. Difference Equ. 2020, Paper No. 146, 9 p. (2020). MSC: 91G20 91G60 26A33 35R11 PDFBibTeX XMLCite \textit{D. Prathumwan} and \textit{K. Trachoo}, Adv. Difference Equ. 2020, Paper No. 146, 9 p. (2020; Zbl 1482.91206) Full Text: DOI
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. (English) Zbl 1482.37090 Adv. Difference Equ. 2020, Paper No. 71, 17 p. (2020). MSC: 37N25 34A08 26A33 92D30 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2020, Paper No. 71, 17 p. (2020; Zbl 1482.37090) Full Text: DOI
Abolvafaei, Mahnaz; Ganjefar, Soheil Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method. (English) Zbl 1458.93189 Math. Control Signals Syst. 32, No. 4, 517-542 (2020). MSC: 93D05 93C15 26A33 93C70 93C10 PDFBibTeX XMLCite \textit{M. Abolvafaei} and \textit{S. Ganjefar}, Math. Control Signals Syst. 32, No. 4, 517--542 (2020; Zbl 1458.93189) Full Text: DOI
Liu, Luofei; Yu, Hanfu; Liu, Ye Converting uniform homotopies into Lipschitz homotopies via moduli of continuity. (English) Zbl 1457.55007 Topology Appl. 285, Article ID 107377, 16 p. (2020). MSC: 55P99 54E40 26A16 PDFBibTeX XMLCite \textit{L. Liu} et al., Topology Appl. 285, Article ID 107377, 16 p. (2020; Zbl 1457.55007) Full Text: DOI
Makaew, Sirawit; Neamprem, Khomsan; Koonprasert, Sanoe Solving the Poisson process in conformable fractional calculus sense by homotopy perturbation method. (English) Zbl 1474.65015 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2019, 387-399 (2020). MSC: 65C30 26A33 60G22 PDFBibTeX XMLCite \textit{S. Makaew} et al., Thai J. Math., 387--399 (2020; Zbl 1474.65015) Full Text: Link
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. (English) Zbl 1447.35359 Math. Methods Appl. Sci. 43, No. 7, 4460-4471 (2020). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{S. Kumar} et al., Math. Methods Appl. Sci. 43, No. 7, 4460--4471 (2020; Zbl 1447.35359) Full Text: DOI
Akinyemi, Lanre; Iyiola, Olaniyi S.; Akpan, Udoh Iterative methods for solving fourth- and sixth-order time-fractional Cahn-Hilliard equation. (Iterative methods for solving fourth- and sixth-order time-fractional Cahn-Hillard equation.) (English) Zbl 1447.65109 Math. Methods Appl. Sci. 43, No. 7, 4050-4074 (2020). MSC: 65M99 65M12 65M15 35R11 26A33 35Q35 PDFBibTeX XMLCite \textit{L. Akinyemi} et al., Math. Methods Appl. Sci. 43, No. 7, 4050--4074 (2020; Zbl 1447.65109) Full Text: DOI arXiv
Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baleanu, Dumitru Analysis of fractional Swift-Hohenberg equation using a novel computational technique. (English) Zbl 1446.35256 Math. Methods Appl. Sci. 43, No. 4, 1970-1987 (2020). MSC: 35R11 26A33 41A58 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Math. Methods Appl. Sci. 43, No. 4, 1970--1987 (2020; Zbl 1446.35256) Full Text: DOI
Shone, T. T.; Patra, Ashrita; Mishra, B. B. Solution of nonlinear fractional quadratic Riccati differential equations using perturbation method. (English) Zbl 1441.65054 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 88, 11 p. (2020). MSC: 65L03 65L05 34A08 26A33 65H20 PDFBibTeX XMLCite \textit{T. T. Shone} et al., Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 88, 11 p. (2020; Zbl 1441.65054) Full Text: DOI
Singh, Jagdev; Kumar, Devendra; Kumar, Sunil An efficient computational method for local fractional transport equation occurring in fractal porous media. (English) Zbl 1463.76050 Comput. Appl. Math. 39, No. 3, Paper No. 137, 10 p. (2020). MSC: 76S05 26A33 35R11 35Q99 PDFBibTeX XMLCite \textit{J. Singh} et al., Comput. Appl. Math. 39, No. 3, Paper No. 137, 10 p. (2020; Zbl 1463.76050) Full Text: DOI
Srivastava, H. M.; Jena, Rajarama Mohan; Chakraverty, Snehashish; Jena, Subrat Kumar Dynamic response analysis of fractionally-damped generalized Bagley-Torvik equation subject to external loads. (English) Zbl 1440.65272 Russ. J. Math. Phys. 27, No. 2, 254-268 (2020). MSC: 65N99 26A33 35R11 74F10 74K20 35Q74 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Russ. J. Math. Phys. 27, No. 2, 254--268 (2020; Zbl 1440.65272) Full Text: DOI
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology. (English) Zbl 1443.92192 Int. J. Biomath. 13, No. 2, Article ID 2050011, 22 p. (2020). MSC: 92D40 26A33 65R99 PDFBibTeX XMLCite \textit{V. P. Dubey} et al., Int. J. Biomath. 13, No. 2, Article ID 2050011, 22 p. (2020; Zbl 1443.92192) Full Text: DOI
Veeresha, P.; Prakasha, D. G. A novel technique for \((2 + 1)\)-dimensional time-fractional coupled Burgers equations. (English) Zbl 07316775 Math. Comput. Simul. 166, 324-345 (2019). MSC: 92Cxx 26Axx 37Nxx PDFBibTeX XMLCite \textit{P. Veeresha} and \textit{D. G. Prakasha}, Math. Comput. Simul. 166, 324--345 (2019; Zbl 07316775) Full Text: DOI
Baldi, Annalisa Sobolev-Poincaré inequalities for differential forms and currents. (English) Zbl 1507.58001 “Bruno Pini” Mathematical Analysis Seminar 2019. Papers from the seminar, University of Bologna, Bologna, Italy, 2019. Bologna: Università di Bologna, Alma Mater Studiorum. 14-27 (2019). MSC: 58A10 26D15 46E35 58A25 PDFBibTeX XMLCite \textit{A. Baldi}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2019. Papers from the seminar, University of Bologna, Bologna, Italy, 2019. Bologna: Università di Bologna, Alma Mater Studiorum. 14--27 (2019; Zbl 1507.58001) Full Text: DOI
Yavuz, Mehmet Dynamical behaviors of separated homotopy method defined by conformable operator. (English) Zbl 1438.26017 Konuralp J. Math. 7, No. 1, 1-6 (2019). MSC: 26A33 35C10 35F31 PDFBibTeX XMLCite \textit{M. Yavuz}, Konuralp J. Math. 7, No. 1, 1--6 (2019; Zbl 1438.26017) Full Text: Link
Akinyemi, Lanre q-homotopy analysis method for solving the seventh-order time-fractional Lax’s Korteweg-de Vries and Sawada-Kotera equations. (English) Zbl 1449.35427 Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019). MSC: 35R11 26A33 35Q53 PDFBibTeX XMLCite \textit{L. Akinyemi}, Comput. Appl. Math. 38, No. 4, Paper No. 191, 22 p. (2019; Zbl 1449.35427) Full Text: DOI
Goodrich, Christopher S.; Muellner, Matthew An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators. (English) Zbl 1473.39036 Appl. Math. Lett. 98, 446-452 (2019). MSC: 39A70 39A13 39A12 26A33 PDFBibTeX XMLCite \textit{C. S. Goodrich} and \textit{M. Muellner}, Appl. Math. Lett. 98, 446--452 (2019; Zbl 1473.39036) Full Text: DOI
Riabi, Lakhdar; Belghaba, Kacem; Hamdi Cherif, Mountassir; Ziane, Djelloul Homotopy perturbation method combined with Z transform to solve some nonlinear fractional differential equations. (English) Zbl 1463.35489 Int. J. Anal. Appl. 17, No. 3, 406-419 (2019). MSC: 35R10 26A33 PDFBibTeX XMLCite \textit{L. Riabi} et al., Int. J. Anal. Appl. 17, No. 3, 406--419 (2019; Zbl 1463.35489) Full Text: Link
Maitama, Shehu; Zhao, Weidong Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets. (English) Zbl 1463.65339 Comput. Appl. Math. 38, No. 2, Paper No. 65, 22 p. (2019). MSC: 65M99 26A33 35R11 68W30 PDFBibTeX XMLCite \textit{S. Maitama} and \textit{W. Zhao}, Comput. Appl. Math. 38, No. 2, Paper No. 65, 22 p. (2019; Zbl 1463.65339) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Qurashi, M. A.; Baleanu, D. A reliable technique for fractional modified Boussinesq and approximate long wave equations. (English) Zbl 1459.35385 Adv. Difference Equ. 2019, Paper No. 253, 23 p. (2019). MSC: 35R11 35A35 26A33 35C07 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Adv. Difference Equ. 2019, Paper No. 253, 23 p. (2019; Zbl 1459.35385) Full Text: DOI arXiv
Sripacharasakullert, Pattira; Sawangtong, Wannika; Sawangtong, Panumart An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method. (English) Zbl 1459.35384 Adv. Difference Equ. 2019, Paper No. 252, 12 p. (2019). MSC: 35R11 35Q51 26A33 PDFBibTeX XMLCite \textit{P. Sripacharasakullert} et al., Adv. Difference Equ. 2019, Paper No. 252, 12 p. (2019; Zbl 1459.35384) Full Text: DOI
Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre \(L^1\)-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces. (English) Zbl 1417.58001 Sci. China, Math. 62, No. 6, 1029-1040 (2019). MSC: 58A10 26D15 46E35 PDFBibTeX XMLCite \textit{A. Baldi} et al., Sci. China, Math. 62, No. 6, 1029--1040 (2019; Zbl 1417.58001) Full Text: DOI arXiv
Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Saad, Khaled; Escobar Jiménez, Ricardo Fabricio Application of the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect. (English) Zbl 1419.92009 Math. Methods Appl. Sci. 42, No. 4, 1167-1193 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 92C50 26A33 PDFBibTeX XMLCite \textit{V. F. Morales-Delgado} et al., Math. Methods Appl. Sci. 42, No. 4, 1167--1193 (2019; Zbl 1419.92009) Full Text: DOI
Maitama, Shehu; Zhao, Weidong Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets. (English) Zbl 1459.34033 Adv. Difference Equ. 2019, Paper No. 127, 22 p. (2019). MSC: 34A08 65H20 26A33 PDFBibTeX XMLCite \textit{S. Maitama} and \textit{W. Zhao}, Adv. Difference Equ. 2019, Paper No. 127, 22 p. (2019; Zbl 1459.34033) Full Text: DOI
Odibat, Zaid On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations. (English) Zbl 1409.65040 Appl. Numer. Math. 137, 203-212 (2019). MSC: 65L03 26A33 65H20 PDFBibTeX XMLCite \textit{Z. Odibat}, Appl. Numer. Math. 137, 203--212 (2019; Zbl 1409.65040) Full Text: DOI
Yépez-Martínez, H.; Gómez-Aguilar, J. F. A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM). (English) Zbl 1402.26005 J. Comput. Appl. Math. 346, 247-260 (2019). MSC: 26A33 34A08 34A45 65L99 PDFBibTeX XMLCite \textit{H. Yépez-Martínez} and \textit{J. F. Gómez-Aguilar}, J. Comput. Appl. Math. 346, 247--260 (2019; Zbl 1402.26005) Full Text: DOI
Sarwar, S.; Iqbal, S. Stability analysis, dynamical behavior and analytical solutions of nonlinear fractional differential system arising in chemical reaction. (English) Zbl 07816181 Chin. J. Phys., Taipei 56, No. 1, 374-384 (2018). MSC: 26A33 35R11 74H10 34H10 PDFBibTeX XMLCite \textit{S. Sarwar} and \textit{S. Iqbal}, Chin. J. Phys., Taipei 56, No. 1, 374--384 (2018; Zbl 07816181) Full Text: DOI
Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Taneco-Hernández, M. A.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel. (English) Zbl 1438.92034 J. Nonlinear Sci. Appl. 11, No. 8, 994-1014 (2018). MSC: 92C50 26A33 44A10 65H20 PDFBibTeX XMLCite \textit{V. F. Morales-Delgado} et al., J. Nonlinear Sci. Appl. 11, No. 8, 994--1014 (2018; Zbl 1438.92034) Full Text: DOI
Atshan, Shakir M.; Hamoud, Ahmed A. Approximate solutions of fourth-order fractional integro-differential equations. (English) Zbl 1424.35008 Acta Univ. Apulensis, Math. Inform. 55, 49-61 (2018). MSC: 35A15 26A33 65H20 45J05 PDFBibTeX XMLCite \textit{S. M. Atshan} and \textit{A. A. Hamoud}, Acta Univ. Apulensis, Math. Inform. 55, 49--61 (2018; Zbl 1424.35008) Full Text: DOI
Baleanu, Dumitru; Agheli, Bahram; Darzi, Rahmat An optimal method for approximating the delay differential equations of noninteger order. (English) Zbl 1446.35012 Adv. Difference Equ. 2018, Paper No. 284, 15 p. (2018). MSC: 35A35 35R11 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2018, Paper No. 284, 15 p. (2018; Zbl 1446.35012) Full Text: DOI
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru On the analysis of fractional diabetes model with exponential law. (English) Zbl 1446.34018 Adv. Difference Equ. 2018, Paper No. 231, 15 p. (2018). MSC: 34A08 26A33 92C50 34A25 34A45 34A34 PDFBibTeX XMLCite \textit{J. Singh} et al., Adv. Difference Equ. 2018, Paper No. 231, 15 p. (2018; Zbl 1446.34018) Full Text: DOI
Sawangtong, Panumart; Trachoo, Kamonchat; Sawangtong, Wannika; Wiwattanapataphee, Benchawan The analytical solution for the Black-Scholes equation with two assets in the Liouville-Caputo fractional derivative sense. (English) Zbl 1418.91536 Mathematics 6, No. 8, Paper No. 129, 14 p. (2018). MSC: 91G20 26A33 44A10 PDFBibTeX XMLCite \textit{P. Sawangtong} et al., Mathematics 6, No. 8, Paper No. 129, 14 p. (2018; Zbl 1418.91536) Full Text: DOI
McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. Numerical irreducible decomposition over a number field. (English) Zbl 1408.14194 J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q99 65H20 65H10 68W30 26C10 PDFBibTeX XMLCite \textit{T. M. McCoy} et al., J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018; Zbl 1408.14194) Full Text: DOI