Selvamani, Rajendran; Thangamuni, Prabhakaran; Yaylacı, Murat; Emin Özdemir, Mehmet; Yaylacı, Ecren Uzun Nonlinear vibration and parametric excitation of magneto-thermo elastic embedded nanobeam using homotopy perturbation technique. (English) Zbl 07972988 ZAMM, Z. Angew. Math. Mech. 104, No. 12, Article ID e202400525, 16 p. (2024). MSC: 74Kxx 74Hxx 74Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Gu, JiaJun; Shi, WeiChen Nonlinear free vibration analysis of the rectangular conductive elastic plate in magnetic field based on homotopy perturbation method. (English) Zbl 07968120 ZAMM, Z. Angew. Math. Mech. 104, No. 10, Article ID e202300705, 23 p. (2024). MSC: 74Hxx 74Kxx 74Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Hussain, Safdar; Haq, Fazal; Shah, Abdullah; Abduvalieva, Dilsora; Shokri, Ali Comparison of approximate analytical and numerical solutions of the Allen Cahn equation. (English) Zbl 1546.65059 Int. J. Differ. Equ. 2024, Article ID 8835138, 9 p. (2024). MSC: 65M06 65M12 65M15 65M99 35C07 35K55 35A20 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Ruggieri, Marianna; Speciale, Maria Paola Asymptotic expansion method with respect to a small parameter for fractional differential equations with Riemann-Liouville derivate. (English) Zbl 1547.35742 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108234, 11 p. (2024). MSC: 35R11 35C20 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Hussain, Saddam; Arora, Gourav; Kumar, Rajesh Semi-analytical methods for solving non-linear differential equations: a review. (English) Zbl 07852390 J. Math. Anal. Appl. 531, No. 1, Part 2, Article ID 127821, 23 p. (2024). MSC: 65Lxx 65Mxx 65Rxx × 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
Ali, Liaqat; Zou, Guang; Li, Na; Mehmood, Kashif; Fang, Pan; Khan, Adnan Analytical treatments of time-fractional seventh-order nonlinear equations via Elzaki transform. (English) Zbl 1537.35358 J. Eng. Math. 145, Paper No. 1, 30 p. (2024). MSC: 35R11 35A20 26A33 34A25 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
El-Dib, Yusry O. An innovative efficient approach to solving damped Mathieu-Duffing equation with the non-perturbative technique. (English) Zbl 1530.34036 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107590, 14 p. (2024). MSC: 34C15 34B30 34A45 34C23 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Abd-Elmonem, Assmaa; Banerjee, Ramashis; Ahmad, Shabir; Jamshed, Wasim; Nisar, Kottakkaran Sooppy; Eid, Mohamed R.; Ibrahim, Rabha W.; El Din, Sayed M. A comprehensive review on fractional-order optimal control problem and its solution. (English) Zbl 1548.49025 Open Math. 21, Article ID 20230105, 35 p. (2023). MSC: 49J99 34A08 35R11 35G15 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Pathak, Vijai Kumar; Mishra, Lakshmi Narayan On solvability and approximating the solutions for nonlinear infinite system of fractional functional integral equations in the sequence space \(\ell_p\), \(p > 1\). (English) Zbl 1543.45004 J. Integral Equations Appl. 35, No. 4, 443-458 (2023). Reviewer: Alexander N. Tynda (Penza) MSC: 45G15 45L05 65R20 47N20 46B45 47H09 47H10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI 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
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
Peker, Haldun Alpaslan; Çuha, Fatma Aybike; Peker, Bilge Kashuri Fundo decomposition method for solving Michaelis-Menten nonlinear biochemical reaction model. (English) Zbl 1519.92084 MATCH Commun. Math. Comput. Chem. 90, No. 2, 315-332 (2023). MSC: 92C45 × Cite Format Result Cite Review PDF Full Text: DOI
El-Dib, Yusry O.; Elgazery, Nasser S.; Khattab, Youmna M.; Alyousef, Haifa A. An innovative technique to solve a fractal damping Duffing-jerk oscillator. (English) Zbl 1519.70021 Commun. Theor. Phys. 75, No. 5, Article ID 055001, 9 p. (2023). MSC: 70K30 34C15 34A08 26A33 × 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
Yang, Yin; Tohidi, Emran; Deng, Guoting A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations. (English) Zbl 1498.65229 J. Comput. Appl. Math. 421, Article ID 114852, 29 p. (2023). MSC: 65R20 45J05 45D05 45G10 65M70 41A55 × 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
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
Iqbal, Naveed; Al Harbi, Moteb Fheed Saad; Alshammari, Saleh; Zaland, Shamsullah Analysis of fractional differential equations with the help of different operators. (English) Zbl 1521.35186 Adv. Math. Phys. 2022, Article ID 1333109, 17 p. (2022). MSC: 35R11 35A22 × 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
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
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
Khidir, Ahmed A.; Aljohani, Abdulrahman F. On successive linearization method for differential equations with nonlinear conditions. (English) Zbl 07565168 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 3-4, 593-602 (2022). MSC: 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Filobello-Nino, Uriel; Vazquez-Leal, Hector; Huerta-Chua, Jesus; Jimenez-Fernandez, Victor Manuel; Herrera-May, Agustin L.; Mayorga-Cruz, Darwin Modified integral homotopy expansive method to find power series solutions of linear ordinary differential equations about ordinary points. (English) Zbl 1490.34018 Discrete Dyn. Nat. Soc. 2022, Article ID 1016251, 17 p. (2022). MSC: 34A34 34F05 37M05 × 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
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
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
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
Nemati, Mehran; Shafiee, Mahmoud; Ebrahimi, Hamideh A meshless technique based on the radial basis functions for solving systems of partial differential equations. (English) Zbl 1499.65573 Comput. Methods Differ. Equ. 10, No. 2, 526-537 (2022). MSC: 65M70 65L05 65N35 65D12 × 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
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 × 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
Jannelli, Alessandra Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations. (English) Zbl 07443082 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022). MSC: 65M06 65M50 35K57 26A33 35R11 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Jannelli, Alessandra; Speciale, Maria Paola Comparison between solutions of a two-dimensional time-fractional diffusion-reaction equation through Lie symmetries. (English) Zbl 07953202 Atti Accad. Peloritana Pericolanti, Cl. Sci. Fis. Mat. Nat. 99, No. 1, Paper No. A4, 18 p. (2021). MSC: 35R11 35K57 26A33 35B06 76M60 65M22 × 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
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
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
Lashkarboluki, Amirreza; Hosseini, Hamed; Ganji, Davood Dimiri Investigating the solutions of two classical nonlinear oscillators by the AG method. (English) Zbl 1506.70030 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 110, 28 p. (2021). MSC: 70K60 70-08 × Cite Format Result Cite Review PDF Full Text: DOI
Habib, Siddra; Azam, Muhammad Khurshid; Asjad, Muhammad Imran; Akgül, Ali Approximate solutions for higher order linear and nonlinear boundary value problems. (English) Zbl 1493.65271 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 204, 17 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N99 65N12 65N15 44A10 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Amin, Rohul; Yüzbaşı, Şuayip; Syam, Muhammed A computational algorithm for solution of population models for single and interacting species. (English) Zbl 1486.92145 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 186, 17 p. (2021). MSC: 92D25 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Habib, Siddra; Batool, Amreen; Islam, Asad; Nadeem, Muhammad; Gepreel, Khaled A.; He, Ji-Huan Study of nonlinear Hirota-Satsuma coupled KdV and coupled mKdV system with time fractional derivative. (English) Zbl 07465629 Fractals 29, No. 5, Article ID 2150108, 14 p. (2021). MSC: 35Q53 44A10 35A22 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Ain, Qura Tul; Anjum, Naveed; He, Chun-Hui An analysis of time-fractional heat transfer problem using two-scale approach. (English) Zbl 1480.35386 GEM. Int. J. Geomath. 12, Paper No. 18, 10 p. (2021). MSC: 35R11 35A25 35K15 × Cite Format Result Cite Review PDF Full Text: DOI
Doan, V. T.; Massa, F.; Tison, T.; Naceur, H. Coupling of homotopy perturbation method and kriging surrogate model for an efficient fuzzy linear buckling analysis: application to additively manufactured lattice structures. (English) Zbl 1481.74208 Appl. Math. Modelling 97, 602-618 (2021). MSC: 74G60 62F86 62P30 65L15 × Cite Format Result Cite Review PDF Full Text: DOI
Manafian, Jalil An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order BVPs. (English) Zbl 1474.65263 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 156-182 (2021). MSC: 65L99 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Meng Study on dynamic characteristics of the cubic nonlinear economic system with time-varying parameters. (English) Zbl 1479.35308 Math. Methods Appl. Sci. 44, No. 16, 12236-12243 (2021). MSC: 35J25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Filobello-Nino, Uriel; Vazquez-Leal, Hector; Huerta-Chua, Jesus; Jimenez-Fernandez, Victor Manuel; Sandoval-Hernandez, Mario Alberto; Delgado-Alvarado, Enrique; Tlapa-Carrera, Victor Manuel A novel version of HPM coupled with the PSEM method for solving the Blasius problem. (English) Zbl 1471.34027 Discrete Dyn. Nat. Soc. 2021, Article ID 5909174, 12 p. (2021). MSC: 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jing; Han, Bo Application of a class of iterative algorithms and their accelerations to Jacobian-based linearized EIT image reconstruction. (English) Zbl 1471.94005 Inverse Probl. Sci. Eng. 29, No. 8, 1108-1126 (2021). MSC: 94A08 65N21 65R32 65J20 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Nehad Ali An analytical view of fractional-order Fisher’s type equations within Caputo operator. (English) Zbl 1512.35632 Math. Probl. Eng. 2021, Article ID 5516392, 10 p. (2021). MSC: 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Aydın, Derya; Şahin, Serpil Solutions of linear parabolic equations with homotopy perturbation method. (English) Zbl 1462.35018 Palest. J. Math. 10, No. 1, 120-127 (2021). MSC: 35A35 35K05 65M06 × Cite Format Result Cite Review PDF Full Text: Link
Ghaleb, A. F.; Abou-Dina, M. S.; Moatimid, G. M.; Zekry, M. H. Analytic approximate solutions of the cubic-quintic Duffing-van der Pol equation with two-external periodic forcing terms: stability analysis. (English) Zbl 1524.34113 Math. Comput. Simul. 180, 129-151 (2021). MSC: 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Ajibade, Abiodun O.; Umar, Ayuba M. Steady natural convection Couette flow with wall conduction and thermal boundary condition of third kind. (English) Zbl 07809742 ZAMM, Z. Angew. Math. Mech. 100, No. 8, Article ID e201900095, 18 p. (2020). MSC: 76Rxx 80Axx 34Axx × Cite Format Result Cite Review PDF Full Text: DOI
Ain, Qura Tul; He, Ji-Huan; Anjum, Naveed; Ali, Muhammad The fractional complex transform: a novel approach to the time-fractional Schrödinger equation. (English) Zbl 1494.35153 Fractals 28, No. 7, Article ID 2050141, 7 p. (2020). MSC: 35R11 35A22 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Eladdad, E. E.; Tarif, E. A. Analytical techniques for solving the equation governing the unsteady flow of a polytropic gas with time-fractional derivative. (English) Zbl 1499.34109 Filomat 34, No. 1, 231-247 (2020). MSC: 34A45 34A08 34A12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra A hybrid analytical scheme for the numerical computation of time fractional computer virus propagation model and its stability analysis. (English) Zbl 1483.68022 Chaos Solitons Fractals 133, Article ID 109626, 10 p. (2020). MSC: 68M11 92D30 65H20 × Cite Format Result Cite Review PDF Full Text: DOI
Lahmar, Sihem; Kezzar, Mohamed; Eid, Mohamed R.; Sari, Mohamed Rafik Heat transfer of squeezing unsteady nanofluid flow under the effects of an inclined magnetic field and variable thermal conductivity. (English) Zbl 07457981 Physica A 540, Article ID 123138, 13 p. (2020). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Habibi, Nabard; Nouri, Zohre Application of local fractional homotopy perturbation method in physical problems. (English) Zbl 1478.35223 Adv. Math. Phys. 2020, Article ID 2108973, 12 p. (2020). MSC: 35R11 35A22 35A35 × Cite Format Result Cite Review PDF Full Text: DOI
Necib, A.; Merad, A. Laplace transform and homotopy perturbation methods for solving the pseudohyperbolic integrodifferential problems with purely integral conditions. (English) Zbl 1494.35121 Kragujevac J. Math. 44, No. 2, 251-272 (2020). MSC: 35L82 35A22 35R09 44A10 45J05 65R20 × Cite Format Result Cite Review PDF Full Text: Link
Abbas, W.; Magdy, M. M. Heat and mass transfer analysis of nanofluid flow based on Cu, \(\mathrm{Al_2O_3}\), and \(\mathrm{TiO_2}\) over a moving rotating plate and impact of various nanoparticle shapes. (English) Zbl 1544.76116 Math. Probl. Eng. 2020, Article ID 9606382, 12 p. (2020). MSC: 76T20 80A19 82D80 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhenli; Zhang, Lihua; Liu, Hanze Lie symmetry analysis to Fisher’s equation with time fractional order. (English) Zbl 1480.35399 J. Appl. Anal. Comput. 10, No. 5, 2058-2067 (2020). MSC: 35R11 35A30 35B06 35C05 35K58 22E30 22E70 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Anjum, Naveed; He, Ji-Huan Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly. (English) Zbl 1454.34032 Int. J. Mod. Phys. B 34, No. 32, Article ID 2050313, 9 p. (2020). MSC: 34A45 34C15 34C25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Mishra, Hradyesh Kumar; Tripathi, Rajnee Homotopy perturbation method of delay differential equation using He’s polynomial with Laplace transform. (English) Zbl 1458.34115 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289-298 (2020). MSC: 34K05 34K07 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Thota, Srinivasarao; Shanmugasundaram, P. On a symbolic method for neutral functional-differential equations with proportional delays. (English) Zbl 1486.65090 Cogent Math. Stat. 7, Article ID 1813961, 13 p. (2020). MSC: 65L99 34K40 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Sunil; Ghosh, Surath; Samet, Bessem; Goufo, Emile Franc Doungmo An analysis for heat equations arises in diffusion process using new Yang-Abdel-Aty-Cattani fractional operator. (English) Zbl 1452.35242 Math. Methods Appl. Sci. 43, No. 9, 6062-6080 (2020). MSC: 35R11 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmoud, W.; Moatimid, G. M.; Ghaleb, A. F.; Abou-Dina, M. S. Nonlinear heat wave propagation in a rigid thermal conductor. (English) Zbl 1440.74109 Acta Mech. 231, No. 5, 1867-1886 (2020). MSC: 74F05 74J10 × Cite Format Result Cite Review PDF Full Text: DOI
Jannelli, Alessandra; Ruggieri, Marianna; Speciale, Maria Paola Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term. (English) Zbl 1436.35022 Appl. Numer. Math. 155, 93-102 (2020). MSC: 35B06 35R11 35K10 35A35 × Cite Format Result Cite Review PDF Full Text: DOI
Kayvanloo, Hojjatollah Amiri; Khanehgir, Mahnaz; Allahyari, Reza A family of measures of noncompactness in the Hölder space \(C^{n, \gamma}(\mathbb{R}_+)\) and its application to some fractional differential equations and numerical methods. (English) Zbl 1513.47097 J. Comput. Appl. Math. 363, 256-272 (2020). MSC: 47H08 47H10 45E10 × Cite Format Result Cite Review PDF Full Text: DOI
Kaur, Gurmeet; Singh, Randhir; Singh, Mehakpreet; Kumar, Jitendra; Matsoukas, Themis Analytical approach for solving population balances: a homotopy perturbation method. (English) Zbl 1504.92098 J. Phys. A, Math. Theor. 52, No. 38, Article ID 385201, 19 p. (2019). MSC: 92D25 35Q92 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Yun, Yin-shan; Wen, Ying; Chaolu, Temuer; Rach, Randolph A segmented Adomian algorithm for the boundary value problem of a second-order partial differential equation on a plane triangle area. (English) Zbl 1487.65171 Adv. Difference Equ. 2019, Paper No. 438, 13 p. (2019). MSC: 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Sawangtong, Wannika; Sawangtong, Panumart Green’s function homotopy perturbation method for the initial-boundary value problems. (English) Zbl 1487.65170 Adv. Difference Equ. 2019, Paper No. 419, 13 p. (2019). MSC: 65M99 35K20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Bani issa, Mohammed S.; Hamoud, Ahmed A.; Giniswamy; Ghadle, Kirtiwant P. Usage modified of homotopy perturbation and Adomian decomposition techniques for solving Fredholm integral equations. (English) Zbl 1465.65166 Int. J. Adv. Appl. Math. Mech. 6, No. 3, 21-26 (2019). MSC: 65R20 45B05 × Cite Format Result Cite Review PDF Full Text: Link
Jannelli, Alessandra; Ruggieri, Marianna; Speciale, Maria Paola Analytical and numerical solutions of time and space fractional advection-diffusion-reaction equation. (English) Zbl 1464.35396 Commun. Nonlinear Sci. Numer. Simul. 70, 89-101 (2019). MSC: 35R11 35A30 × Cite Format Result Cite Review PDF Full Text: DOI
Fatima, Nahid; Daniel, Sunita Solution of wave equations and heat equations using HPM. (English) Zbl 1442.35452 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 367-374 (2019). MSC: 35Q79 35B20 35A25 35K05 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Eladdad, E. E.; Tarif, E. A. On the coupling of the homotopy perturbation method and new integral transform for solving systems of partial differential equations. (English) Zbl 1435.65148 Adv. Math. Phys. 2019, Article ID 5658309, 7 p. (2019). MSC: 65M15 35A25 35B20 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Filobello-Nino, U.; Vazquez-Leal, H.; Castaneda-Sheissa, R.; Jimenez-Fernandez, V. M.; Herrera-May, A. L.; Huerta-Chua, J.; Gil-Adalid, L.; Pretelin-Canela, J. E. An analytical approximate solution for the quasi-steady state Michaelis-Menten problem. (English) Zbl 1453.92374 Discrete Dyn. Nat. Soc. 2019, Article ID 8901508, 9 p. (2019). MSC: 92E20 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Kamal; Khalil, Hammad; Yildirim, Ahmet On a hybrid technique to handle analytical and approximate solutions of linear and nonlinear fractional order partial differential equations. (English) Zbl 1430.35261 Appl. Appl. Math. 14, No. 2, 910-925 (2019). MSC: 35R11 44A10 35C10 × Cite Format Result Cite Review PDF Full Text: Link
Aziz, Abdul; Ray, Saibal; Rahaman, Farook; Guha, B. K. Neutron star under homotopy perturbation method. (English) Zbl 1425.85003 Ann. Phys. 409, Article ID 167918, 22 p. (2019). MSC: 85A15 83C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: Link
Özpinar, Figen; Belgacem, Fethi Bin Muhammad The discrete homotopy perturbation sumudu transform method for solving partial difference equations. (English) Zbl 1417.39029 Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 615-624 (2019). MSC: 39A14 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Randhir A modified homotopy perturbation method for nonlinear singular Lane-Emden equations arising in various physical models. (English) Zbl 1419.34079 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 64, 15 p. (2019). MSC: 34A45 34B15 34B27 65L10 34B16 × Cite Format Result Cite Review PDF Full Text: DOI
Shchigolev, V. K.; Bezbatko, D. N. Studying gravitational deflection of light by Kiselev black hole via homotopy perturbation method. (English) Zbl 1414.83038 Gen. Relativ. Gravitation 51, No. 2, Paper No. 34, 16 p. (2019). MSC: 83C57 83C10 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Sobamowo, G. M.; Yinusa, A. A. Transient combustion analysis of iron micro-particles in a gaseous oxidizing medium using a new iterative method. (English) Zbl 1499.80010 J. Comput. Eng. Math. 5, No. 3, 3-16 (2018). MSC: 80A25 65L06 80A32 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Sadaf, Hina; Akbar, Muhammad Usman; Nadeem, S. Induced magnetic field analysis for the peristaltic transport of non-Newtonian nanofluid in an annulus. (English) Zbl 1540.76006 Math. Comput. Simul. 148, 16-36 (2018). MSC: 76A05 82D80 × Cite Format Result Cite Review PDF Full Text: DOI
Saberirad, F.; Karbassi, Seyed Mehdi; Heydari, Mohammad Mehdi; Hosseini, Mohamad Mehdi Application of homotopy perturbation method for solving hybrid fuzzy differential equations. (English) Zbl 1461.34030 J. Math. Ext. 12, No. 1, 113-145 (2018). MSC: 34A45 34A07 34A38 47N20 × Cite Format Result Cite Review PDF Full Text: Link
Az-Zo’bi, Emad A reliable analytic study for higher-dimensional telegraph equation. (English) Zbl 1427.65317 J. Math. Comput. Sci., JMCS 18, No. 4, 423-429 (2018). MSC: 65M99 35C05 35L25 × Cite Format Result Cite Review PDF Full Text: DOI
Zeid, Samaneh Soradi; Effati, Sohrab; Kamyad, Ali Vahidian Approximation methods for solving fractional optimal control problems. (English) Zbl 1438.49045 Comput. Appl. Math. 37, No. 1, Suppl., 158-182 (2018). MSC: 49M05 49M25 65K99 × Cite Format Result Cite Review PDF Full Text: DOI
Karunakar, P.; Chakraverty, Snehashish 2-D shallow water wave equations with fuzzy parameters. (English) Zbl 1410.35281 Chakraverty, Snehashish (ed.) et al., Recent advances in applications of computational and fuzzy mathematics. Singapore: Springer. 1-22 (2018). MSC: 35R13 35Q35 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Saar, Fawziah M.; Ghadle, Kirtiwant P. Combined Laplace transform with analytical methods for solving Volterra integral equations with a convolution kernel. (English) Zbl 1411.44001 J. Korean Soc. Ind. Appl. Math. 22, No. 2, 125-136 (2018). MSC: 44A10 41A58 65H20 65R20 × Cite Format Result Cite Review PDF
Eshkuvatov, Zainidin Homotopy perturbation method and Chebyshev polynomials for solving a class of singular and hypersingular integral equations. (English) Zbl 1405.65166 Numer. Algebra Control Optim. 8, No. 3, 337-350 (2018). MSC: 65R20 45E05 42A10 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws. (English) Zbl 1445.35298 Adv. Difference Equ. 2018, Paper No. 46, 14 p. (2018). MSC: 35R11 26A33 35Q53 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Deb, Debabrata; Roy Chowdhury, Sourav; Ray, Saibal; Rahaman, Farook A new model for strange stars. (English) Zbl 1404.83015 Gen. Relativ. Gravitation 50, No. 9, Paper No. 112, 18 p. (2018). MSC: 83C15 83C55 85A15 83C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv