Shweta; Hussain, Saddam; Kumar, Rajesh; Kumar, Rajesh An improved version of homotopy perturbation method for multi-dimensional Burgers’ equations. (English) Zbl 07925061 J. Appl. Anal. Comput. 15, No. 1, 517-546 (2025). MSC: 65M99 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Khalouta, Ali The study of nonlinear fractional partial differential equations via the Khalouta-Atangana-Baleanu operator. (English) Zbl 07924366 J. Appl. Anal. Comput. 14, No. 6, 3175-3196 (2024). MSC: 35R11 26A33 35A22 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Arora, Gourav; Kumar, Rajesh; Mammeri, Youcef Elzaki transform based accelerated homotopy perturbation method for multi-dimensional Smoluchowski’s coagulation and coupled coagulation-fragmentation equations. (English) Zbl 07924354 J. Appl. Anal. Comput. 14, No. 5, 2922-2953 (2024). MSC: 45K05 45L05 65R20 65R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laxmi, Bharat; Chand, Khem Heat transfer analysis of hydromagnetic viscous radiating flow over a stretching sheet by homotopy perturbation method. (English) Zbl 07900754 J. Rajasthan Acad. Phys. Sci. 23, No. 1-2, 1-13 (2024). MSC: 76-XX 80-XX × Cite Format Result Cite Review PDF Full Text: Link
Visuvasama, J.; Meenaa, A.; Rajendran, I. Mathematical modelling of the biofiltration treating mixtures of toluene and \(n\)-propanol in the biofilm and gas phase. (English) Zbl 07900176 Southeast Asian Bull. Math. 48, No. 3, 411-429 (2024). MSC: 34B15 34A34 35A35 × Cite Format Result Cite Review PDF Full Text: Link
Alhejaili, Weaam; Az-Zo’bi, Emad A.; Shah, Rasool; El-Tantawy, S. A. On the analytical soliton approximations to fractional forced Korteweg-de Vries equation arising in fluids and plasmas using two novel techniques. (English) Zbl 1544.35141 Commun. Theor. Phys. 76, No. 8, Article ID 085001, 10 p. (2024). MSC: 35Q53 26A33 35R11 76B25 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Ganie, Abdul Hamid; Mallik, Saurav; AlBaidani, Mashael M.; Khan, Adnan; Shah, Mohd Asif Novel analysis of nonlinear seventh-order fractional Kaup-Kupershmidt equation via the Caputo operator. (English) Zbl 07897013 Bound. Value Probl. 2024, Paper No. 87, 20 p. (2024). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Maji, Mitali; Khajanchi, Subhas A fractional-order yeast prion mathematical model and its solution. (English) Zbl 1542.92060 J. Appl. Math. Comput. 70, No. 4, 2767-2784 (2024). MSC: 92C50 92C20 34A08 34D20 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Hassan; Khan, Adnan; Shah, Rasool; Baleanu, Dumitru A novel fractional case study of nonlinear dynamics via analytical approach. (English) Zbl 07884882 Appl. Math., Ser. B (Engl. Ed.) 39, No. 2, 276-290 (2024). MSC: 35G25 35G60 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Sahoo, Mrutyunjaya; Chakraverty, S. Dynamics of tsunami wave propagation in uncertain environment. (English) Zbl 07872432 Comput. Appl. Math. 43, No. 5, Paper No. 266, 27 p. (2024). MSC: 35Q35 76B15 86A15 × Cite Format Result Cite Review PDF Full Text: DOI
Aziz, Abdul; Das, Amit; Ray, Saibal Scalar perturbations of gravitational collapse under homotopy perturbation method: a critical study on the rectangular and price potential. (English) Zbl 1543.83059 Fortschr. Phys. 72, No. 1, Article ID 2300029, 9 p. (2024). MSC: 83C57 83C10 83C30 85A40 × Cite Format Result Cite Review PDF Full Text: DOI
Radhakrishnan, Bheeman; Chandru, Paramasivam; Nieto, Juan J. A study of nonlinear fractional-order biochemical reaction model and numerical simulations. (English) Zbl 1542.34039 Nonlinear Anal., Model. Control 29, No. 3, 588-605 (2024). MSC: 34C60 92C45 34A08 34A45 × Cite Format Result Cite Review PDF Full Text: Link
Meher, Prabina Kumar; Ansari, Mohd. Anis; Bisoi, Alfa Effect of bias current of active magnetic bearing on Sommerfeld effect characterization in an unbalanced rotor dynamic system. (English) Zbl 1542.70020 Acta Mech. 235, No. 2, 907-923 (2024). MSC: 70K40 70K30 70K60 78A55 × Cite Format Result Cite Review PDF Full Text: DOI
Almefleh, Hasan Approximating the solution of cell-cell adhesion model via the homotopy perturbation method. (English) Zbl 1538.35393 Int. J. Math. Comput. Sci. 19, No. 2, 509-519 (2024). MSC: 35Q92 35A22 35B15 35K55 92C17 92C37 × Cite Format Result Cite Review PDF Full Text: Link
Zhang, Lijun; Bhatti, M. M.; Michaelides, Efstathios E.; Ellahi, R. Characterizing quadratic convection and electromagnetically induced flow of couple stress fluids in microchannels. (English) Zbl 1528.76110 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 35, 24 p. (2024). MSC: 76W05 76R10 76M45 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Ghosh, Surath An analytical approach for the fractional-order hepatitis B model using new operator. (English) Zbl 1519.92254 Int. J. Biomath. 17, No. 1, Article ID 2350008, 22 p. (2024). MSC: 92D30 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Kaewta, Supaporn; Juntharee, Pongpol; Sirisubtawee, Sekson Applications of the Laplace variational iteration and Laplace homotopy perturbation methods for solving fractional integro-differential equations. (English) Zbl 07829888 Thai J. Math. 21, Spec. Iss.: Annual Meeting in Mathematics 2022, 91-118 (2023). MSC: 45J05 45L05 26A33 65R20 × Cite Format Result Cite Review PDF Full Text: Link
Ajibade, Abiodun O.; Gambo, Jeremiah J.; Jha, Basant K. Effects of viscous and Darcy dissipation on fully developed natural convection flow in a composite channel partially filled with porous material: homotopy perturbation method (HPM). (English) Zbl 1535.65300 ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202100583, 14 p. (2023). MSC: 65N99 35B20 34D10 34A34 76S05 76D08 76R10 80A19 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Qayyum, Mubashir; Tahir, Aneeza; Bariq, Abdul; Akgül, Ali; Tauseef Saeed, Syed Modeling and analysis of thin film flow of fuzzified Johnson Segalman nanofluid using fuzzy extension of He-Laplace scheme. (English) Zbl 1536.76011 Math. Comput. Model. Dyn. Syst. 29, No. 1, 286-314 (2023). MSC: 76A20 76T20 76A10 76S05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Sawangtong, Wannika; Ikot, Akpan N.; Sawangtong, Panumart An approximate analytic solution for the multidimensional fractional-order time and space Burger equation based on Caputo-Katugampola derivative. (English) Zbl 1537.81097 Int. J. Theor. Phys. 62, No. 12, Paper No. 269, 18 p. (2023). MSC: 81Q15 14F42 76Q05 35C07 76N10 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Catalan-Angeles, Gabriel; Arciga-Alejandre, Martin P.; Sanchez-Ortiz, Jorge Fractional Lotka-Volterra model with Holling type III functional response. (English) Zbl 1538.34020 Math. Methods Appl. Sci. 46, No. 16, 17128-17136 (2023). MSC: 34A08 34C60 92D25 34A45 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Khalouta, A. Existence and uniqueness of solution for Caputo-Fabrizio fractional Bratu-type initial value problem. (English) Zbl 1538.34027 Azerb. J. Math. 13, No. 1, 96-112 (2023). MSC: 34A08 26A33 34A12 47H10 34A45 × Cite Format Result Cite Review PDF Full Text: Link
Rashid, Saima; Kubra, Khadija Tul; Abualnaja, Khadijah M. Fractional view of heat-like equations via the Elzaki transform in the settings of the Mittag-Leffler function. (English) Zbl 1531.35366 Math. Methods Appl. Sci. 46, No. 10, 11420-11441 (2023). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Jena, Rajarama Mohan; Chakraverty, Snehashish; Nisar, Kottakkaran Sooppy Dynamical behavior of rotavirus epidemic model with non-probabilistic uncertainty under Caputo-Fabrizio derivative. (English) Zbl 1532.92097 Math. Methods Appl. Sci. 46, No. 9, 10672-10697 (2023). MSC: 92D30 34A08 34A12 34A07 × Cite Format Result Cite Review PDF Full Text: DOI
Sathiyapriya, S. P. Existence, uniqueness and convergence of solutions of fuzzy integral equations by using a recursive scheme based on homotopy perturbation method. (English) Zbl 1531.65288 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 5, 345-363 (2023). MSC: 65R20 45D05 26E50 × Cite Format Result Cite Review PDF Full Text: Link Link
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 65R20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Pandey, S. C.; Raturi, A. K. On solutions to the arms race model using some techniques of fractional calculus. (English) Zbl 1531.34052 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 45-60 (2023). MSC: 34C60 91D99 34A08 26A33 34A45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Modanli, Mahmut; Murad, Muhammad Amin Sadiq; Abdulazeez, Sadeq Taha A new computational method-based integral transform for solving time-fractional equation arises in electromagnetic waves. (English) Zbl 07741473 Z. Angew. Math. Phys. 74, No. 5, Paper No. 186, 15 p. (2023). MSC: 65R10 65M25 × Cite Format Result Cite Review PDF Full Text: DOI
Narayanamoorthy, Samayan; Thomas, Reetha; Kang, Daekook An approximate mathematical solution for glucose insulin regulatory system using homotopy perturbation method. (English) Zbl 1520.92017 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 1, 1-20 (2023). MSC: 92C30 34A07 34A30 34D10 92C50 × Cite Format Result Cite Review PDF Full Text: Link Link
Liu, Fenglian; Wang, Shu; Nadeem, Muhammad A fractal solution of Camassa-Holm and Degasperis-Procesi models under two-scale dimension approach. (English) Zbl 1529.35442 Fractals 31, No. 5, Article ID 2350053, 10 p. (2023). MSC: 35Q53 28A80 35B20 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Ajibade, Abiodun O.; Kabir, Tafida M. Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition. (English) Zbl 07715040 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 4, 1461-1476 (2023). MSC: 76R10 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Arora, Gourav; Kumar, Rajesh; Mammeri, Youcef Homotopy perturbation and Adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models. (English) Zbl 1517.45006 GEM. Int. J. Geomath. 14, Paper No. 4, 25 p. (2023). MSC: 45K05 45L05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Liaqat, Muhammad Imran; Khan, Aziz; Alqudah, Manar A.; Abdeljawad, Thabet Adapted homotopy perturbation method with Shehu transform for solving conformable fractional nonlinear partial differential equations. (English) Zbl 1518.35634 Fractals 31, No. 2, Article ID 2340027, 19 p. (2023). MSC: 35R11 35A22 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Fenglian; Yang, Lei; Nadeem, Muhammad A new fractal transform for the approximate solution of Drinfeld-Sokolov-Wilson model with fractal derivatives. (English) Zbl 1518.35637 Fractals 31, No. 1, Article ID 2350007, 9 p. (2023). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Nadeem, Muhammad; Wahash, Hanan A. Analysis of fractional Kundu-Eckhaus and massive Thirring equations using a hybridization scheme. (English) Zbl 1518.35642 J. Funct. Spaces 2023, Article ID 6704537, 7 p. (2023). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Kai, Yue; Zhang, Kai; Yin, Zhixiang HTR approach to the asymptotic solutions of supersonic boundary layer problem: the case of slow acoustic waves interacting with streamwise isolated wall roughness. (English) Zbl 1516.76070 Math. Sci., Springer 17, No. 1, 21-30 (2023). MSC: 76N20 76J20 76Q05 76M45 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Hamza, M. M.; Abdulsalam, S.; Ahmad, S. K. Time-dependent magnetohydrodynamic (MHD) flow of an exothermic Arrhenius fluid in a vertical channel with convective boundary condition. (English) Zbl 1529.76100 Adv. Math. Phys. 2023, Article ID 7173925, 13 p. (2023). MSC: 76W05 76M20 76M45 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Chergui, Djamila; Merad, Ahcene; Pinelas, Sandra Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions. (English) Zbl 1510.35372 Analysis, München 43, No. 1, 1-13 (2023). MSC: 35R11 35B45 35L82 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Khirsariya, Sagar R.; Rao, Snehal B.; Chauhan, Jignesh P. A novel hybrid technique to obtain the solution of generalized fractional-order differential equations. (English) Zbl 1540.35445 Math. Comput. Simul. 205, 272-290 (2023). MSC: 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
He, Ji-Huan; Jiao, Man-Li; Gepreel, Khaled A.; Khan, Yasir Homotopy perturbation method for strongly nonlinear oscillators. (English) Zbl 1540.65263 Math. Comput. Simul. 204, 243-258 (2023). MSC: 65L99 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
El-Dib, Yusry O.; Mady, Amal A. The non-conservative forced Toda oscillator. (English) Zbl 1540.70033 ZAMM, Z. Angew. Math. Mech. 102, No. 4, Article ID e202100379, 17 p. (2022). MSC: 70K40 70K30 × Cite Format Result Cite Review PDF Full Text: DOI
Nawaz, Rashid; Farid, Samreen; Bushnaq, Samia Applications of new iterative method to fractional non linear coupled ITO system. (English) Zbl 07801879 Bol. Soc. Parana. Mat. (3) 40, Paper No. 91, 16 p. (2022). MSC: 35R11 35A25 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Nadeem, Muhammad; He, Ji-Huan; He, Chun-Hui; Sedighi, Hamid M.; Shirazi, Ali H. A numerical solution of nonlinear fractional Newell-Whitehead-Segel equation using natural transform. (English) Zbl 07791997 TWMS J. Pure Appl. Math. 13, No. 2, 168-182 (2022). MSC: 65M99 35Q53 35A20 44A10 65M22 35A22 35R11 26A33 35B20 × Cite Format Result Cite Review PDF Full Text: Link
Kumar, Rakesh; Koundal, Reena; Ali Shehzad, Sabir Modified homotopy perturbation approach for the system of fractional partial differential equations: a utility of fractional Wronskian. (English) Zbl 1538.35435 Math. Methods Appl. Sci. 45, No. 2, 809-826 (2022). MSC: 35R11 65M99 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Khaneh Masjedi, Pedram; Weaver, Paul M. Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method. (English) Zbl 1525.74073 Appl. Math. Modelling 103, 516-542 (2022). MSC: 74H10 74K10 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Shokhanda, Rachana; Goswami, Pranay; Nápoles Valdés, Juan E. Analytical solution of generalized diffusion-like equation of fractional order. (English) Zbl 1516.35476 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 168-177 (2022). MSC: 35R11 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Iqbal, Sajad; Martínez, Francisco; Kaabar, Mohammed K. A.; Samei, Mohammad Esmael A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations. (English) Zbl 1512.65239 Bound. Value Probl. 2022, Paper No. 91, 23 p. (2022). MSC: 65M99 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Marinca, Vasile; Ene, Remus Daniel; Marinca, Bogdan Optimal homotopy perturbation method for nonlinear problems with applications. (English) Zbl 07667392 Appl. Comput. Math. 21, No. 2, 123-136 (2022). MSC: 76-XX 65D99 76M25 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Tao Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method. (English) Zbl 1505.76085 Chaos Solitons Fractals 158, Article ID 112007, 9 p. (2022). MSC: 76S05 76M21 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kaur, Ramandeep; Kapuria, Santosh Thermoelastic wave propagation in thin beams under thermal shock loading. (English) Zbl 1505.74117 Appl. Math. Modelling 105, 584-614 (2022). MSC: 74K10 74F05 74J40 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Zhiping; Jiang, Nan A symplectic homotopy perturbation method for stochastic and interval Hamiltonian systems and its applications in structural dynamic systems. (English) Zbl 1513.65270 Comput. Appl. Math. 41, No. 8, Paper No. 363, 30 p. (2022). MSC: 65L99 65P10 70H15 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Yousefi, Batoul; Baradaran, Hossein A homotopy analysis solution to large deformation of a nanowire based on nonlocal elasticity theory. (English) Zbl 1498.74046 Comput. Appl. Math. 41, No. 7, Paper No. 316, 19 p. (2022). MSC: 74K10 74B99 74G10 × Cite Format Result Cite Review PDF Full Text: DOI
Achar, Sindhu J.; Baishya, Chandrali Dynamics of modified fractional illicit drug consumption model. (English) Zbl 1495.92055 Palest. J. Math. 11, No. 3, 112-126 (2022). MSC: 92D25 34A08 92-10 × Cite Format Result Cite Review PDF Full Text: Link
Akinshilo, A. T.; Davodi, A. G.; Rezazadeh, H.; Sobamowo, G.; Tunç, Cemil Heat transfer and flow of MHD micropolarnanofluid through the porous walls, magnetic fields and thermal radiaton. (English) Zbl 1497.76123 Palest. J. Math. 11, No. 2, 604-616 (2022). MSC: 76W05 76T20 76S05 76M45 80A21 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Gupta, Neelam; Kanth, Neel Analytical and numerical calculation of heat transfer inside the hard nip calender. (English) Zbl 1513.74010 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 230, 30 p. (2022). MSC: 74A15 35A22 80M20 35K05 74F05 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Jiao; Idrees, Asma; Abdo, Mohammed S. A new strategy for the approximate solution of hyperbolic telegraph equations in nonlinear vibration system. (English) Zbl 1497.35314 J. Funct. Spaces 2022, Article ID 8304107, 7 p. (2022). MSC: 35L20 35L71 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Aljahdaly, Noufe H.; Shah, Rasool; Naeem, Muhammed; Arefin, Mohammad Asif A comparative analysis of fractional space-time advection-dispersion equation via semi-analytical methods. (English) Zbl 1496.35414 J. Funct. Spaces 2022, Article ID 4856002, 11 p. (2022). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Karmakar, Somnath; Chakraverty, S. Thermal vibration of nonhomogeneous Euler nanobeam resting on Winkler foundation. (English) Zbl 1521.74091 Eng. Anal. Bound. Elem. 140, 581-591 (2022). MSC: 74H45 74K10 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Jiahua; Nadeem, Muhammad; Habib, Mustafa; Karim, Shazia; Wahash, Hanan A. A new iterative method for the approximate solution of Klein-Gordon and sine-Gordon equations. (English) Zbl 1495.35006 J. Funct. Spaces 2022, Article ID 5365810, 9 p. (2022). MSC: 35A22 35C10 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Jani, Haresh P.; Singh, Twinkle R. Study of concentration arising in longitudinal dispersion phenomenon by aboodh transform homotopy perturbation method. (English) Zbl 07549892 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 152, 10 p. (2022). MSC: 65Mxx 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Umadevi, R.; Venugopal, K.; Jeyabarathi, P.; Rajendran, L.; Abukhaled, M. Analytical study of nonlinear roll motion of ships: a homotopy perturbation approach. (English) Zbl 1489.76003 Palest. J. Math. 11, No. 1, 316-325 (2022). MSC: 76-10 34A25 65L99 × Cite Format Result Cite Review PDF Full Text: Link
Kumar, Manoj A hybrid method to solve time-space fractional PDEs with proportional delay. (English) Zbl 07541682 Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 72, 15 p. (2022). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sunthrayuth, Pongsakorn; Alyousef, Haifa A.; El-Tantawy, S. A.; Khan, Adnan; Wyal, Noorolhuda Solving fractional-order diffusion equations in a plasma and fluids via a novel transform. (English) Zbl 1491.35103 J. Funct. Spaces 2022, Article ID 1899130, 19 p. (2022). MSC: 35C05 35A22 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Jyoti; Singh, Mandeep An iterative technique based on HPM for a class of one dimensional Bratu’s type problem. (English) Zbl 1540.65224 Math. Comput. Simul. 200, 50-64 (2022). MSC: 65L10 34B15 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Reshu An analytical study of non-Newtonian visco-inelastic fluid flow between two stretchable rotating disks. (English) Zbl 1512.76010 Palest. J. Math. 11, Spec. Iss. I, 184-201 (2022). MSC: 76A10 76U05 76M45 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Noeiaghdam, Samad; Fariborzi Araghi, Mohammad Ali; Sidorov, Denis Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method. (English) Zbl 1492.65367 J. Comput. Appl. Math. 411, Article ID 114226, 13 p. (2022). MSC: 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Tripathi, Rajnee; Mishra, Hradyesh Kumar Application of homotopy perturbation method using Laplace transform intended for determining the temperature in the heterogeneous casting-mould system. (English) Zbl 1486.35110 Differ. Equ. Dyn. Syst. 30, No. 2, 301-314 (2022). MSC: 35C05 35A22 35K20 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Rehman, Gohar; Qin, Shengwu; Ain, Qura Tul; Ullah, Zaheen; Zaheer, Muhammad; Talib, Muhammad Afnan; Mehmood, Qaiser; Baloch, Muhammad Yousuf Jat; ur Rahman, Naveed A study of moisture content in unsaturated porous medium by using homotopy perturbation method (HPM) and variational iteration method (VIM). (English) Zbl 1484.76077 GEM. Int. J. Geomath. 13, Paper No. 3, 10 p. (2022). MSC: 76S05 76M30 76M45 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Alesemi, Meshari; Iqbal, Naveed; Abdo, Mohammed S. Novel investigation of fractional-order Cauchy-reaction diffusion equation involving Caputo-Fabrizio operator. (English) Zbl 1485.35372 J. Funct. Spaces 2022, Article ID 4284060, 14 p. (2022). MSC: 35R11 35A22 35K15 35K59 × Cite Format Result Cite Review PDF Full Text: DOI
El-Dib, Yusry O. The damping Helmholtz-Rayleigh-Duffing oscillator with the non-perturbative approach. (English) Zbl 1540.34051 Math. Comput. Simul. 194, 552-562 (2022). MSC: 34A45 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Dubey, Shweta; Chakraverty, S. Homotopy perturbation method for solving fuzzy fractional heat-conduction equation. (English) Zbl 1480.35403 Allahviranloo, Tofigh (ed.) et al., Advances in fuzzy integral and differential equations. Cham: Springer. Stud. Fuzziness Soft Comput. 412, 159-169 (2022). MSC: 35R13 35R11 35K05 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Yuxin; Han, Bo; Gu, Ruixue An accelerated homotopy-perturbation-Kaczmarz method for solving nonlinear inverse problems. (English) Zbl 1483.65085 J. Comput. Appl. Math. 404, Article ID 113897, 20 p. (2022). MSC: 65J15 65J22 × Cite Format Result Cite Review PDF Full Text: DOI
Fatima, Nahid; Dhariwal, Monika Solutions of differential equations for prediction of COVID-19 cases by homotopy perturbation method. (English) Zbl 1475.92160 Saba, Tanzila (ed.) et al., Intelligent computing applications for COVID-19. Predictions, diagnosis, and prevention. Boca Raton, FL: CRC Press. Innov. Health Inform. Healthc.: Using Artif. Intell. Smart Comput., 49-65 (2022). MSC: 92D30 65H20 × Cite Format Result Cite Review PDF Full Text: DOI
Moatimid, Galal M.; Mostapha, Doaa R.; Zekry, Marwa H. Nonlinear EHD stability of cylindrical Walters B’ fluids: effect of an axial time periodic electric field. (English) Zbl 07839812 Chin. J. Phys., Taipei 74, 106-128 (2021). MSC: 76E25 76E30 × Cite Format Result Cite Review PDF Full Text: DOI
Azimi, Milad; Moradi, Samad Nonlinear dynamic and stability analysis of an edge cracked rotating flexible structure. (English) Zbl 1535.74369 Int. J. Struct. Stab. Dyn. 21, No. 7, Article ID 2150091, 22 p. (2021). MSC: 74H55 × Cite Format Result Cite Review PDF Full Text: DOI
Jalili, Bahram; Jalili, Payam; Sadighi, Sina; Ganji, Davood Domiri Effect of magnetic and boundary parameters on flow characteristics analysis of micropolar ferrofluid through the shrinking sheet with effective thermal conductivity. (English) Zbl 07835669 Chin. J. Phys., Taipei 71, 136-150 (2021). MSC: 76T20 76W05 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
El-Dib, Yusry O. The frequency estimation for non-conservative nonlinear oscillation. (English) Zbl 07813228 ZAMM, Z. Angew. Math. Mech. 101, No. 12, Article ID e202100187, 14 p. (2021). MSC: 34Axx 34Cxx 34Exx × Cite Format Result Cite Review PDF Full Text: DOI
Arfan, Muhammad; Shah, Kamal; Abdeljawad, Thabet; Hammouch, Zakia An efficient tool for solving two-dimensional fuzzy fractional-ordered heat equation. (English) Zbl 07776022 Numer. Methods Partial Differ. Equations 37, No. 2, 1407-1418 (2021). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ajibade, Abiodun O.; Umar, Ayuba M. Effect of wall conduction on steady natural convection Couette flow in a vertical channel. (English) Zbl 1520.76079 Meccanica 56, No. 9, 2257-2267 (2021). MSC: 76R10 76M45 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Areshi, Mounirah; Zidan, A. M.; Shah, Rasool; Nonlaopon, Kamsing A modified techniques of fractional-order Cauchy-reaction diffusion equation via Shehu transform. (English) Zbl 1510.35364 J. Funct. Spaces 2021, Article ID 5726822, 15 p. (2021). MSC: 35R11 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Faydaoğlu, Ş.; Öziş, T. Periodic solutions for certain non-smooth oscillators with high nonlinearities. (English) Zbl 1506.34052 Appl. Comput. Math. 20, No. 3, 366-380 (2021). MSC: 34C15 34A45 34C25 × Cite Format Result Cite Review PDF Full Text: Link
Batra, Luckshay; Taneja, H. C. Approximate-analytical solution to the information measure’s based quanto option pricing model. (English) Zbl 1498.91428 Chaos Solitons Fractals 153, Part 1, Article ID 111493, 10 p. (2021). MSC: 91G20 × Cite Format Result Cite Review PDF Full Text: DOI
Alqahtani, Obaid Analytical solution of non-linear fractional diffusion equation. (English) Zbl 1494.35154 Adv. Difference Equ. 2021, Paper No. 327, 14 p. (2021). MSC: 35R11 35A25 × Cite Format Result Cite Review PDF Full Text: DOI
Batiha, Belal; Ghanim, Firas Numerical implementation of Daftardar-Gejji and Jafari method to the quadratic Riccati equation. (English) Zbl 1491.65074 Bul. Acad. Științe Repub. Mold., Mat. 2021, No. 3(97), 21-29 (2021). MSC: 65L99 × Cite Format Result Cite Review PDF Full Text: Link
Ajibade, A. O.; Onoja, T. U. Entropy generation due to natural convection Couette flow of viscous incompressible fluids in a vertical parallel porous channel. (English) Zbl 1494.76082 J. Niger. Math. Soc. 40, No. 3, 183-204 (2021). MSC: 76R10 76S05 76D05 76M45 80A19 × Cite Format Result Cite Review PDF Full Text: Link
He, Ji-Huan; El-Dib, Yusry O. A tutorial introduction to the two-scale fractal calculus and its application to the fractal Zhiber-Shabat oscillator. (English) Zbl 1506.35200 Fractals 29, No. 8, Article ID 2150268, 9 p. (2021). MSC: 35Q53 28A80 35B05 35B35 35B20 35-01 34A34 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Sene, Ndolane Fractional advection-dispersion equation described by the Caputo left generalized fractional derivative. (English) Zbl 1490.35525 Palest. J. Math. 10, No. 2, 562-579 (2021). MSC: 35R11 35A22 35K57 76R50 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI