Wang, Kang-Jia; Si, Jing; Wang, Guo Dong; Shi, Feng A new fractal modified Benjamin-Bona-Mahony equation: its generalized variational principle and abundant exact solutions. (English) Zbl 07726790 Fractals 31, No. 5, Article ID 2350047, 15 p. (2023). MSC: 35Q53 35C07 37K35 68W30 28A80 PDFBibTeX XMLCite \textit{K.-J. Wang} et al., Fractals 31, No. 5, Article ID 2350047, 15 p. (2023; Zbl 07726790) Full Text: DOI
Nieto, Juan J.; Alghanmi, Madeaha; Ahmad, Bashir; Alsaedi, Ahmed; Alharbi, Boshra On fractional integrals and derivatives of a function with respect to another function. (English) Zbl 07726768 Fractals 31, No. 4, Article ID 2340066, 15 p. (2023). MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{J. J. Nieto} et al., Fractals 31, No. 4, Article ID 2340066, 15 p. (2023; Zbl 07726768) Full Text: DOI
Evirgen, Firat; Uçar, Esmehan; Özdemir, Necati; Altun, Eren; Abdeljawad, Thabet The impact of nonsingular memory on the mathematical model of hepatitis C virus. (English) Zbl 1520.92062 Fractals 31, No. 4, Article ID 2340065, 12 p. (2023). MSC: 92D30 34A08 PDFBibTeX XMLCite \textit{F. Evirgen} et al., Fractals 31, No. 4, Article ID 2340065, 12 p. (2023; Zbl 1520.92062) Full Text: DOI
Jafari, Hossein; Ganji, Roghayeh Moallem; Narsale, Sonali Mandar; Kgarose, Maluti; Nguyen, Van Thinh Application of Hosoya polynomial to solve a class of time-fractional diffusion equations. (English) Zbl 1521.35187 Fractals 31, No. 4, Article ID 2340059, 12 p. (2023). MSC: 35R11 26A33 65M15 PDFBibTeX XMLCite \textit{H. Jafari} et al., Fractals 31, No. 4, Article ID 2340059, 12 p. (2023; Zbl 1521.35187) 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 PDFBibTeX XMLCite \textit{M. I. Liaqat} et al., Fractals 31, No. 2, Article ID 2340027, 19 p. (2023; Zbl 1518.35634) Full Text: DOI
Qu, Haidong; Arfan, Muhammad; Shah, Kamal; Ullah, Aman; Abdeljawad, Thabet; Zhang, Gengzhong On numerical and theoretical findings for fractal-fractional order generalized dynamical system. (English) Zbl 07700467 Fractals 31, No. 2, Article ID 2340019, 19 p. (2023). MSC: 34A08 26A33 34A12 34D10 47H10 65L05 PDFBibTeX XMLCite \textit{H. Qu} et al., Fractals 31, No. 2, Article ID 2340019, 19 p. (2023; Zbl 07700467) Full Text: DOI
Alharbi, Rabab; Jan, Rashid; Alyobi, Sultan; Altayeb, Yousif; Khan, Ziad Mathematical modeling and stability analysis of the dynamics of monkeypox via fractional-calculus. (English) Zbl 1516.34078 Fractals 30, No. 10, Article ID 2240266, 16 p. (2022). MSC: 34C60 92D30 34A08 34C05 34D10 47N20 34D20 PDFBibTeX XMLCite \textit{R. Alharbi} et al., Fractals 30, No. 10, Article ID 2240266, 16 p. (2022; Zbl 1516.34078) Full Text: DOI
Alsaedi, Ramzi Variational analysis for fractional equations with variable exponents: existence, multiplicity and nonexistence results. (English) Zbl 1512.35287 Fractals 30, No. 10, Article ID 2240259, 8 p. (2022). MSC: 35J62 35R11 35A01 35J20 PDFBibTeX XMLCite \textit{R. Alsaedi}, Fractals 30, No. 10, Article ID 2240259, 8 p. (2022; Zbl 1512.35287) Full Text: DOI
Elías-Zúñiga, Alex; Martínez-Romero, Oscar; Olvera Trejo, Daniel; Palacios-Pineda, Luis Manuel Analysis of a damped fractal system using the ancient Chinese algorithm and the two-scale fractal dimension transform. (English) Zbl 1515.34028 Fractals 30, No. 9, Article ID 2250173, 8 p. (2022). MSC: 34A45 34A08 37C60 PDFBibTeX XMLCite \textit{A. Elías-Zúñiga} et al., Fractals 30, No. 9, Article ID 2250173, 8 p. (2022; Zbl 1515.34028) Full Text: DOI
Doungmo Goufo, Emile Franc Implementation of multi-folded torus attractors via a piecewise system with a piecewise linear odd function. (English) Zbl 1515.34015 Fractals 30, No. 8, Article ID 2240232, 15 p. (2022). MSC: 34A08 26A33 34A34 34C28 37D45 65L05 65T60 PDFBibTeX XMLCite \textit{E. F. Doungmo Goufo}, Fractals 30, No. 8, Article ID 2240232, 15 p. (2022; Zbl 1515.34015) Full Text: DOI
Alrabaiah, Hussam; Ali, Gauhar; Ali, Amjad; Shah, Kamal; Abdeljawad, Thabet On existence and stability results for pantograph fractional boundary value problems. (English) Zbl 1515.34080 Fractals 30, No. 8, Article ID 2240231, 11 p. (2022). MSC: 34K37 26A33 34K10 34K27 47N20 PDFBibTeX XMLCite \textit{H. Alrabaiah} et al., Fractals 30, No. 8, Article ID 2240231, 11 p. (2022; Zbl 1515.34080) Full Text: DOI
Alharthi, Nadiyah Hussain; Albalawi, Kholoud Saad Analysis of piecewise COVID-19 model with asymptomatic and symptomatic populations with waning immunity under singular and nonsingular kernels. (English) Zbl 1515.34044 Fractals 30, No. 8, Article ID 2240209, 16 p. (2022). MSC: 34C60 34A08 92D30 PDFBibTeX XMLCite \textit{N. H. Alharthi} and \textit{K. S. Albalawi}, Fractals 30, No. 8, Article ID 2240209, 16 p. (2022; Zbl 1515.34044) Full Text: DOI
Alzaid, Sara S.; Chauhan, R. P.; Kumar, Sunil; Alkahtani, Badr Saad T. Numerical study for fractional bi-modal 2019-nCOV SITR epidemic model. (English) Zbl 1515.34045 Fractals 30, No. 8, Article ID 2240205, 20 p. (2022). MSC: 34C60 92D30 34A08 34C05 34D20 34D05 PDFBibTeX XMLCite \textit{S. S. Alzaid} et al., Fractals 30, No. 8, Article ID 2240205, 20 p. (2022; Zbl 1515.34045) Full Text: DOI
Mathanaranjan, Thilagarajah; Vijayakumar, Dayalini New soliton solutions in nano-fibers with space-time fractional derivatives. (English) Zbl 1501.35442 Fractals 30, No. 7, Article ID 2250141, 10 p. (2022). MSC: 35R11 35C08 35Q55 PDFBibTeX XMLCite \textit{T. Mathanaranjan} and \textit{D. Vijayakumar}, Fractals 30, No. 7, Article ID 2250141, 10 p. (2022; Zbl 1501.35442) Full Text: DOI
Yang, Wengui Certain new weighted Young- and Pólya-Szegö-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function with applications. (English) Zbl 1512.26016 Fractals 30, No. 6, Article ID 2250106, 37 p. (2022). MSC: 26D10 26A33 33E12 PDFBibTeX XMLCite \textit{W. Yang}, Fractals 30, No. 6, Article ID 2250106, 37 p. (2022; Zbl 1512.26016) Full Text: DOI
Alzaid, Sara S.; Chauhan, R. P.; Kumar, Sunil; Alkahtani, Badr Saad T. A high order numerical scheme for fractal-fractional laser system with chaos study. (English) Zbl 1504.34109 Fractals 30, No. 5, Article ID 2240183, 19 p. (2022). MSC: 34C60 78A60 34C28 65L05 34A08 34A45 PDFBibTeX XMLCite \textit{S. S. Alzaid} et al., Fractals 30, No. 5, Article ID 2240183, 19 p. (2022; Zbl 1504.34109) Full Text: DOI
Wang, Bo; Sajjadi, Samaneh Sadat; Jahanshahi, Hadi; Karaca, Yeliz; Hou, Dingkun; Pi, Li; Xia, Wei-Feng; Aly, Ayman A. Predictive control of the variable-order fractional chaotic ecological system. (English) Zbl 1498.92310 Fractals 30, No. 5, Article ID 2240178, 17 p. (2022). MSC: 92D40 92D25 26A33 93B45 PDFBibTeX XMLCite \textit{B. Wang} et al., Fractals 30, No. 5, Article ID 2240178, 17 p. (2022; Zbl 1498.92310) Full Text: DOI
Riaz, Muhammad Bilal; Awrejcewicz, Jan; Jhangeer, Adil; Munawar, Maham Appraisal of analytical solutions for \((2+1)\)-Dimensional nonlinear chiral Schrödinger equation. (English) Zbl 1496.35140 Fractals 30, No. 5, Article ID 2240159, 18 p. (2022). MSC: 35C05 35C08 35R11 35Q40 35Q55 PDFBibTeX XMLCite \textit{M. B. Riaz} et al., Fractals 30, No. 5, Article ID 2240159, 18 p. (2022; Zbl 1496.35140) Full Text: DOI
Tuan, Nguyen Anh; Luc, Nguyen Hoang; Trang, Nguyen Pham Quynh; Van, Ho Thi Kim New results for parabolic equation on the sphere with Caputo-Fabrizio operator. (English) Zbl 1496.35440 Fractals 30, No. 5, Article ID 2240158, 13 p. (2022). MSC: 35R11 35K58 35R01 PDFBibTeX XMLCite \textit{N. A. Tuan} et al., Fractals 30, No. 5, Article ID 2240158, 13 p. (2022; Zbl 1496.35440) Full Text: DOI
Rashid, Saima; Khalid, Aasma; Karaca, Yeliz; Chu, Yu-Ming Revisiting Fejér-Hermite-Hadamard type inequalities in fractal domain and applications. (English) Zbl 1496.26036 Fractals 30, No. 5, Article ID 2240133, 26 p. (2022). MSC: 26D15 26A33 26A51 33E12 PDFBibTeX XMLCite \textit{S. Rashid} et al., Fractals 30, No. 5, Article ID 2240133, 26 p. (2022; Zbl 1496.26036) Full Text: DOI
Sylvain, Tankou Tagne Alain; Patrice, Ele Abiama; Marie, Ema’a Ema’a Jean; Pierre, Owono Ateba; Hubert, Ben-Bolie Germain A unified three-dimensional extended fractional analytical solution for air pollutants dispersion. (English) Zbl 1491.35439 Fractals 30, No. 3, Article ID 2250065, 14 p. (2022). MSC: 35R11 35A35 PDFBibTeX XMLCite \textit{T. T. A. Sylvain} et al., Fractals 30, No. 3, Article ID 2250065, 14 p. (2022; Zbl 1491.35439) Full Text: DOI
Rashid, Saima; Abouelmagd, Elbaz I.; Khalid, Aasma; Farooq, Fozia Bashir; Chu, Yu-Ming Some recent developments on dynamical \(\hbar\)-discrete fractional type inequalities in the frame of nonsingular and nonlocal kernels. (English) Zbl 1487.39011 Fractals 30, No. 2, Article ID 2240110, 15 p. (2022). MSC: 39A13 39A70 34A08 26A33 PDFBibTeX XMLCite \textit{S. Rashid} et al., Fractals 30, No. 2, Article ID 2240110, 15 p. (2022; Zbl 1487.39011) Full Text: DOI
Zhang, Yuejin; Yin, Guanxiang; Ye, Mengqiu; Liu, Qi; Tu, Botao; Li, Guanghui; Zhan, Aiyun Stereo vision information system using median theorem and attitude compensation with nonlinear differential equations. (English) Zbl 07507557 Fractals 30, No. 2, Article ID 2240073, 12 p. (2022). MSC: 65Mxx 34Kxx 35Kxx PDFBibTeX XMLCite \textit{Y. Zhang} et al., Fractals 30, No. 2, Article ID 2240073, 12 p. (2022; Zbl 07507557) Full Text: DOI
Rashid, Saima; Abouelmagd, Elbaz I.; Sultana, Sobia; Chu, Yu-Ming New developments in weighted \(n\)-fold type inequalities via discrete generalized \(\hat{\hbar}\)-proportional fractional operators. (English) Zbl 07507540 Fractals 30, No. 2, Article ID 2240056, 16 p. (2022). MSC: 26A33 26D10 39A12 PDFBibTeX XMLCite \textit{S. Rashid} et al., Fractals 30, No. 2, Article ID 2240056, 16 p. (2022; Zbl 07507540) Full Text: DOI
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu On the generalized weighted Caputo-type differential operator. (English) Zbl 1495.26011 Fractals 30, No. 1, Article ID 2250032, 7 p. (2022). MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., Fractals 30, No. 1, Article ID 2250032, 7 p. (2022; Zbl 1495.26011) Full Text: DOI
Basim, Mays; Senu, Norazak; Ibrahim, Zarina Bibi; Ahmadian, Ali; Salahshour, Soheil A robust operational matrix of nonsingular derivative to solve fractional variable-order differential equations. (English) Zbl 1492.34008 Fractals 30, No. 1, Article ID 2240041, 13 p. (2022). MSC: 34A08 34A25 PDFBibTeX XMLCite \textit{M. Basim} et al., Fractals 30, No. 1, Article ID 2240041, 13 p. (2022; Zbl 1492.34008) Full Text: DOI
Riaz, Muhammad Bilal; Jarad, Fahd; Baleanu, Dumitru; Asgir, Maryam Theoretical study of MHD Maxwell fluid with combined effect of heat and mass transfer via local and nonlocal time derivatives. (English) Zbl 1484.76092 Fractals 30, No. 1, Article ID 2240010, 22 p. (2022). MSC: 76W05 76R10 80A19 26A33 PDFBibTeX XMLCite \textit{M. B. Riaz} et al., Fractals 30, No. 1, Article ID 2240010, 22 p. (2022; Zbl 1484.76092) Full Text: DOI
Sabir, Zulqurnain; Umar, Muhammad; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru Applications of Gudermannian neural network for solving the SITR fractal system. (English) Zbl 1514.92160 Fractals 29, No. 8, Article ID 2150250, 20 p. (2021). MSC: 92D30 92C60 28A80 68T07 90C20 PDFBibTeX XMLCite \textit{Z. Sabir} et al., Fractals 29, No. 8, Article ID 2150250, 20 p. (2021; Zbl 1514.92160) Full Text: DOI
Wu, Shanhe; Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Hussain, Azhar On weighted \(k\)-fractional operators with applications in mathematical physics. (English) Zbl 1486.35449 Fractals 29, No. 4, Article ID 2150084, 14 p. (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{S. Wu} et al., Fractals 29, No. 4, Article ID 2150084, 14 p. (2021; Zbl 1486.35449) Full Text: DOI
Wang, Kang-Le A new fractal transform frequency formulation for fractal nonlinear oscillators. (English) Zbl 1492.34014 Fractals 29, No. 3, Article ID 2150062, 7 p. (2021). MSC: 34A08 34C15 34C20 34A45 PDFBibTeX XMLCite \textit{K.-L. Wang}, Fractals 29, No. 3, Article ID 2150062, 7 p. (2021; Zbl 1492.34014) Full Text: DOI
Anwar, Talha; Kumam, Poom; Khan, Ilyas; Thounthong, Phatiphat Fractional magnetohydrodynamic flow of a second grade fluid in a porous medium with variable wall velocity and Newtonian heating. (English) Zbl 1500.76108 Fractals 29, No. 3, Article ID 2150060, 15 p. (2021). MSC: 76W05 76S05 76A05 80A19 26A33 PDFBibTeX XMLCite \textit{T. Anwar} et al., Fractals 29, No. 3, Article ID 2150060, 15 p. (2021; Zbl 1500.76108) Full Text: DOI
Khan, Yasir Maclaurin series method for fractal differential-difference models arising in coupled nonlinear optical waveguides. (English) Zbl 1481.78012 Fractals 29, No. 1, Article ID 2150004, 7 p. (2021). MSC: 78A50 78A40 28A80 45D05 39A36 PDFBibTeX XMLCite \textit{Y. Khan}, Fractals 29, No. 1, Article ID 2150004, 7 p. (2021; Zbl 1481.78012) Full Text: DOI
Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib Analysis of fractal-fractional malaria transmission model. (English) Zbl 1482.92097 Fractals 28, No. 8, Article ID 2040041, 25 p. (2020). MSC: 92D30 28A80 26A33 44A10 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Fractals 28, No. 8, Article ID 2040041, 25 p. (2020; Zbl 1482.92097) Full Text: DOI
Akram, Tayyaba; Abbas, Muhammad; Riaz, Muhammad Bilal; Ismail, Ahmad Izani; Ali, Norhashidah Mohd. Development and analysis of new approximation of extended cubic B-spline to the nonlinear time fractional Klein-Gordon equation. (English) Zbl 1482.65022 Fractals 28, No. 8, Article ID 2040039, 20 p. (2020). MSC: 65D07 65M70 34K37 PDFBibTeX XMLCite \textit{T. Akram} et al., Fractals 28, No. 8, Article ID 2040039, 20 p. (2020; Zbl 1482.65022) Full Text: DOI
Yue, Chen; Lu, Dianchen; Khater, Mostafa M. A.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Attia, Raghda A. M. On explicit wave solutions of the fractional nonlinear DSW system via the modified Khater method. (English) Zbl 1482.76026 Fractals 28, No. 8, Article ID 2040034, 10 p. (2020). MSC: 76B15 76B25 76M99 26A33 PDFBibTeX XMLCite \textit{C. Yue} et al., Fractals 28, No. 8, Article ID 2040034, 10 p. (2020; Zbl 1482.76026) Full Text: DOI
Jin, Jiangang An adaptive image scaling algorithm based on continuous fraction interpolation and multi-resolution hierarchy processing. (English) Zbl 1508.68401 Fractals 28, No. 8, Article ID 2040016, 13 p. (2020). MSC: 68U10 65T40 65T60 94A08 PDFBibTeX XMLCite \textit{J. Jin}, Fractals 28, No. 8, Article ID 2040016, 13 p. (2020; Zbl 1508.68401) Full Text: DOI
Tian, Yuan; Cui, Gaoyuan; Morris, Harry Digital imaging based on fractal theory and its spatial dimensionality. (English) Zbl 1508.68403 Fractals 28, No. 8, Article ID 2040014, 10 p. (2020). MSC: 68U10 28A80 PDFBibTeX XMLCite \textit{Y. Tian} et al., Fractals 28, No. 8, Article ID 2040014, 10 p. (2020; Zbl 1508.68403) Full Text: DOI
Jarad, F.; Abdeljawad, T.; Shah, K. On the weighted fractional operators of a function with respect to another function. (English) Zbl 1489.26006 Fractals 28, No. 8, Article ID 2040011, 12 p. (2020). MSC: 26A33 PDFBibTeX XMLCite \textit{F. Jarad} et al., Fractals 28, No. 8, Article ID 2040011, 12 p. (2020; Zbl 1489.26006) Full Text: DOI
Belmor, Samiha; Jarad, F.; Abdeljawad, T.; Alqudah, Manar A. On fractional differential inclusion problems involving fractional order derivative with respect to another function. (English) Zbl 1487.34009 Fractals 28, No. 8, Article ID 2040002, 9 p. (2020). MSC: 34A08 34A60 47N20 34B15 PDFBibTeX XMLCite \textit{S. Belmor} et al., Fractals 28, No. 8, Article ID 2040002, 9 p. (2020; Zbl 1487.34009) Full Text: DOI