Zhou, Ping; Jafari, Hossein; Ganji, Roghayeh M.; Narsale, Sonali M. Numerical study for a class of time fractional diffusion equations using operational matrices based on Hosoya polynomial. (English) Zbl 07804353 Electron. Res. Arch. 31, No. 8, 4530-4548 (2023). MSC: 65M12 65M15 65H10 26A33 35R11 05C12 05C31 33E12 35Q53 PDFBibTeX XMLCite \textit{P. Zhou} et al., Electron. Res. Arch. 31, No. 8, 4530--4548 (2023; Zbl 07804353) Full Text: DOI
Başcı, Yasemin; Mısır, Adil; Öğrekçi, Süleyman Generalized derivatives and Laplace transform in \((k, \psi)\)-Hilfer form. (English) Zbl 07783864 Math. Methods Appl. Sci. 46, No. 9, 10400-10420 (2023). MSC: 44A10 26A33 33B15 PDFBibTeX XMLCite \textit{Y. Başcı} et al., Math. Methods Appl. Sci. 46, No. 9, 10400--10420 (2023; Zbl 07783864) Full Text: DOI
Vellappandi, Madasamy; Govindaraj, Venkatesan Operator theoretic approach in fractional-order delay optimal control problems. (English) Zbl 07782373 Math. Methods Appl. Sci. 46, No. 6, 6529-6544 (2023). MSC: 34A08 34K37 93B28 33E12 PDFBibTeX XMLCite \textit{M. Vellappandi} and \textit{V. Govindaraj}, Math. Methods Appl. Sci. 46, No. 6, 6529--6544 (2023; Zbl 07782373) Full Text: DOI
Zhu, Huijian; Peng, Yuming; Li, Yiyang; Zeng, Caibin Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth. (English) Zbl 1523.92013 Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2749-2764 (2023). MSC: 92D25 33E12 34A08 34C60 PDFBibTeX XMLCite \textit{H. Zhu} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 10, 2749--2764 (2023; Zbl 1523.92013) Full Text: DOI
Pandir, Yusuf; Akturk, Tolga; Gurefe, Yusuf; Juya, Hussain The modified exponential function method for beta time fractional Biswas-Arshed equation. (English) Zbl 07747992 Adv. Math. Phys. 2023, Article ID 1091355, 18 p. (2023). MSC: 81V35 35Q41 78A50 33B10 14D15 81Q80 65S05 03D45 35B10 PDFBibTeX XMLCite \textit{Y. Pandir} et al., Adv. Math. Phys. 2023, Article ID 1091355, 18 p. (2023; Zbl 07747992) Full Text: DOI
Palmieri, Alessandro Lifespan estimates for local solutions to the semilinear wave equation in Einstein-de Sitter Spacetime. (English) Zbl 1523.35074 Appl. Anal. 102, No. 13, 3577-3608 (2023). MSC: 35B44 35L15 35L71 33C10 PDFBibTeX XMLCite \textit{A. Palmieri}, Appl. Anal. 102, No. 13, 3577--3608 (2023; Zbl 1523.35074) Full Text: DOI arXiv
Suhaib, Kamran; Ilyas, Asim; Malik, Salman A. On the inverse problems for a family of integro-differential equations. (English) Zbl 1518.35688 Math. Model. Anal. 28, No. 2, 255-270 (2023). MSC: 35R30 26A33 35R11 35P10 44A10 33E12 PDFBibTeX XMLCite \textit{K. Suhaib} et al., Math. Model. Anal. 28, No. 2, 255--270 (2023; Zbl 1518.35688) Full Text: DOI
Abilassan, A.; Restrepo, J. E.; Suragan, D. On a variant of multivariate Mittag-Leffler’s function arising in the Laplace transform method. (English) Zbl 1512.33019 Integral Transforms Spec. Funct. 34, No. 3, 244-260 (2023). Reviewer: Sergei V. Rogosin (Minsk) MSC: 33E12 26A33 34A08 44A10 PDFBibTeX XMLCite \textit{A. Abilassan} et al., Integral Transforms Spec. Funct. 34, No. 3, 244--260 (2023; Zbl 1512.33019) Full Text: DOI
Alam, Md. Nur; Islam, Shariful; İlhan, Onur Alp; Bulut, Hasan Some new results of nonlinear model arising in incompressible visco-elastic Kelvin-Voigt fluid. (English) Zbl 07781433 Math. Methods Appl. Sci. 45, No. 16, 10347-10362 (2022). MSC: 35Q35 35Q51 76A10 35E05 35C08 33F05 PDFBibTeX XMLCite \textit{Md. N. Alam} et al., Math. Methods Appl. Sci. 45, No. 16, 10347--10362 (2022; Zbl 07781433) Full Text: DOI
Jafari, Mohammad; Dastmalchi, Saei Farhad; Jodayree, Akbarfam Ali Asghar; Jahangiri, Rad Mohammad The generalized conformable derivative for \(4 \alpha\)-order Sturm-Liouville problems. (English) Zbl 07665258 Comput. Methods Differ. Equ. 10, No. 3, 816-825 (2022). MSC: 34A08 26A33 33E12 PDFBibTeX XMLCite \textit{M. Jafari} et al., Comput. Methods Differ. Equ. 10, No. 3, 816--825 (2022; Zbl 07665258) Full Text: DOI
Samraiz, Muhammad; Mehmood, Ahsan; Iqbal, Sajid; Naheed, Saima; Rahman, Gauhar; Chu, Yu-Ming Generalized fractional operator with applications in mathematical physics. (English) Zbl 1508.26009 Chaos Solitons Fractals 165, Part 2, Article ID 112830, 9 p. (2022). MSC: 26A33 34A08 44A10 33B15 33E12 PDFBibTeX XMLCite \textit{M. Samraiz} et al., Chaos Solitons Fractals 165, Part 2, Article ID 112830, 9 p. (2022; Zbl 1508.26009) 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
Limpanukorn, Norravich; Ngiamsunthorn, Parinya Sa; Songsanga, Danuruj; Suechoei, Apassara On the stability of differential systems involving \(\psi\)-Hilfer fractional derivative. (English) Zbl 1505.34015 Nonlinear Funct. Anal. Appl. 27, No. 3, 513-532 (2022). MSC: 34A08 26A33 34D20 33E12 34A30 PDFBibTeX XMLCite \textit{N. Limpanukorn} et al., Nonlinear Funct. Anal. Appl. 27, No. 3, 513--532 (2022; Zbl 1505.34015) Full Text: Link
Mukiawa, Soh Edwin; Omaba, McSylvester Ejighikeme; Enyi, Cyril Dennis; Apalara, Tijani A. General decay estimate for coupled plate problem with memory. (English) Zbl 1497.35052 Results Appl. Math. 15, Article ID 100306, 14 p. (2022). MSC: 35B40 35L57 35L71 35R09 33E30 74K20 PDFBibTeX XMLCite \textit{S. E. Mukiawa} et al., Results Appl. Math. 15, Article ID 100306, 14 p. (2022; Zbl 1497.35052) Full Text: DOI
Darvishi, H.; Kerayechian, A.; Gachpazan, M. Non-polynomial spectral-Galerkin method for time-fractional diffusion equation on unbounded domain. (English) Zbl 1496.65175 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 213, 22 p. (2022). MSC: 65M70 65M60 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{H. Darvishi} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 213, 22 p. (2022; Zbl 1496.65175) 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
Aderyani, Safoura Rezaei; Saadati, Reza; Allahviranloo, Tofigh Existence, uniqueness and matrix-valued fuzzy Mittag-Leffler-hypergeometric-Wright stability for \(\mathfrak{P}\)-Hilfer fractional differential equations in matrix-valued fuzzy Banach space. (English) Zbl 1513.39065 Comput. Appl. Math. 41, No. 6, Paper No. 234, 25 p. (2022). MSC: 39B82 34A08 33C60 PDFBibTeX XMLCite \textit{S. R. Aderyani} et al., Comput. Appl. Math. 41, No. 6, Paper No. 234, 25 p. (2022; Zbl 1513.39065) Full Text: DOI
Penent, Guillaume; Privault, Nicolas Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians. (English) Zbl 1495.35104 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 446-474 (2022). MSC: 35K58 35B65 35R11 47G30 35S05 35S10 60J85 65R20 60G51 60G52 65C05 45D05 33C05 60H07 PDFBibTeX XMLCite \textit{G. Penent} and \textit{N. Privault}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 446--474 (2022; Zbl 1495.35104) Full Text: DOI arXiv
Derbazi, Choukri; Baitiche, Zidane Uniqueness and Ulam-Hyers-Mittag-Leffler stability results for the delayed fractional multiterm differential equation involving the \(\Phi\)-Caputo fractional derivative. (English) Zbl 1507.34088 Rocky Mt. J. Math. 52, No. 3, 887-897 (2022). MSC: 34K37 34L05 34K27 47N20 44A10 33E12 PDFBibTeX XMLCite \textit{C. Derbazi} and \textit{Z. Baitiche}, Rocky Mt. J. Math. 52, No. 3, 887--897 (2022; Zbl 1507.34088) Full Text: DOI arXiv Link
Bhatter, Sanjay; Mathur, Amit; Kumar, Devendra; Singh, Jagdev On certain new results of fractional calculus involving product of generalized special functions. (English) Zbl 1492.26005 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 135, 9 p. (2022). MSC: 26A33 33C20 33C65 33E12 PDFBibTeX XMLCite \textit{S. Bhatter} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 135, 9 p. (2022; Zbl 1492.26005) Full Text: DOI
Abdalla, Mohamed; Boulaaras, Salah; Akel, Mohamed; Idris, Sahar Ahmed; Jain, Shilpi Certain fractional formulas of the extended \(k\)-hypergeometric functions. (English) Zbl 1494.33001 Adv. Difference Equ. 2021, Paper No. 450, 10 p. (2021). MSC: 33B15 33C05 33C45 33C60 26A33 PDFBibTeX XMLCite \textit{M. Abdalla} et al., Adv. Difference Equ. 2021, Paper No. 450, 10 p. (2021; Zbl 1494.33001) Full Text: DOI
Hidan, Muajebah; Boulaaras, Salah Mahmoud; Cherif, Bahri-Belkacem; Abdalla, Mohamed Further results on the \( (p, k)\)-analogue of hypergeometric functions associated with fractional calculus operators. (English) Zbl 1512.33015 Math. Probl. Eng. 2021, Article ID 5535962, 10 p. (2021). MSC: 33D15 26A33 PDFBibTeX XMLCite \textit{M. Hidan} et al., Math. Probl. Eng. 2021, Article ID 5535962, 10 p. (2021; Zbl 1512.33015) Full Text: DOI
Abdalla, Mohamed; Hidan, Muajebah; Boulaaras, Salah Mahmoud; Cherif, Bahri-Belkacem Investigation of extended \(k\)-hypergeometric functions and associated fractional integrals. (English) Zbl 1512.33009 Math. Probl. Eng. 2021, Article ID 9924265, 11 p. (2021). MSC: 33C20 26A33 PDFBibTeX XMLCite \textit{M. Abdalla} et al., Math. Probl. Eng. 2021, Article ID 9924265, 11 p. (2021; Zbl 1512.33009) Full Text: DOI
Audu, Johnson D.; Mukiawa, Soh Edwin; Almeida Júnior, Dilberto S. General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient. (English) Zbl 1481.35044 Results Appl. Math. 12, Article ID 100219, 12 p. (2021). MSC: 35B40 35L35 35L76 33E30 74K20 45M10 PDFBibTeX XMLCite \textit{J. D. Audu} et al., Results Appl. Math. 12, Article ID 100219, 12 p. (2021; Zbl 1481.35044) Full Text: DOI
Tadesse, Hagos; Habenom, Haile; Alaria, Anita; Shimelis, Biniyam Composition formulae for the \(k\)-fractional calculus operator with the \(S\)-function. (English) Zbl 1477.33023 J. Math. 2021, Article ID 7379820, 12 p. (2021). MSC: 33E12 26A33 PDFBibTeX XMLCite \textit{H. Tadesse} et al., J. Math. 2021, Article ID 7379820, 12 p. (2021; Zbl 1477.33023) Full Text: DOI
Suthar, Dayalal; Purohit, Sunil Dutt; Habenom, Haile; Singh, Jagdev Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function. (English) Zbl 1479.26009 Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3803-3819 (2021). Reviewer: S. L. Kalla (Ballwin) MSC: 26A33 33C10 33E12 44A10 44A20 PDFBibTeX XMLCite \textit{D. Suthar} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 10, 3803--3819 (2021; Zbl 1479.26009) Full Text: DOI
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith Sharp estimate of the cost of controllability for a degenerate parabolic equation with interior degeneracy. (English) Zbl 1470.35206 Minimax Theory Appl. 6, No. 2, 251-280 (2021). MSC: 35K65 93B05 93B60 33C10 35P10 30D15 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., Minimax Theory Appl. 6, No. 2, 251--280 (2021; Zbl 1470.35206) Full Text: Link
Devi, Anju; Jakhar, Manjeet Analysis of concentration of \(\mathrm{Ca^{2+}} \) arising in astrocytes cell. (English) Zbl 1468.35212 Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 11, 9 p. (2021). MSC: 35Q92 26A33 33E50 44A15 49K20 92C20 92C40 35R11 PDFBibTeX XMLCite \textit{A. Devi} and \textit{M. Jakhar}, Int. J. Appl. Comput. Math. 7, No. 1, Paper No. 11, 9 p. (2021; Zbl 1468.35212) Full Text: DOI
Li, Changpin; Li, Zhiqiang Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation. (English) Zbl 1469.34019 J. Nonlinear Sci. 31, No. 2, Paper No. 31, 60 p. (2021). MSC: 34A08 34D20 34D05 33E12 PDFBibTeX XMLCite \textit{C. Li} and \textit{Z. Li}, J. Nonlinear Sci. 31, No. 2, Paper No. 31, 60 p. (2021; Zbl 1469.34019) Full Text: DOI
Laadjal, Zaid; Abdeljawad, Thabet; Jarad, Fahd On existence-uniqueness results for proportional fractional differential equations and incomplete gamma functions. (English) Zbl 1487.34020 Adv. Difference Equ. 2020, Paper No. 641, 15 p. (2020). MSC: 34A08 26A33 33B20 PDFBibTeX XMLCite \textit{Z. Laadjal} et al., Adv. Difference Equ. 2020, Paper No. 641, 15 p. (2020; Zbl 1487.34020) Full Text: DOI
Aman, Sidra; Abdeljawad, Thabet; Al-Mdallal, Qasem Natural convection flow of a fluid using Atangana and Baleanu fractional model. (English) Zbl 1485.35373 Adv. Difference Equ. 2020, Paper No. 305, 15 p. (2020). MSC: 35R11 26A33 76A05 76E06 33E12 PDFBibTeX XMLCite \textit{S. Aman} et al., Adv. Difference Equ. 2020, Paper No. 305, 15 p. (2020; Zbl 1485.35373) Full Text: DOI
Rashid, Saima; Hammouch, Zakia; Ashraf, Rehana; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy New quantum estimates in the setting of fractional calculus theory. (English) Zbl 1485.26007 Adv. Difference Equ. 2020, Paper No. 383, 17 p. (2020). MSC: 26A33 26D15 39A13 34A08 33D05 PDFBibTeX XMLCite \textit{S. Rashid} et al., Adv. Difference Equ. 2020, Paper No. 383, 17 p. (2020; Zbl 1485.26007) Full Text: DOI
Kumar, Devendra; Singh, Jagdev New aspects of fractional epidemiological model for computer viruses with Mittag-Leffler law. (English) Zbl 07357307 Dutta, Hemen (ed.), Mathematical modelling in health, social and applied sciences. Singapore: Springer. Forum Interdiscip. Math., 283-301 (2020). MSC: 68M14 33E12 34A08 34C60 PDFBibTeX XMLCite \textit{D. Kumar} and \textit{J. Singh}, in: Mathematical modelling in health, social and applied sciences. Singapore: Springer. 283--301 (2020; Zbl 07357307) Full Text: DOI
Cannarsa, P.; Martinez, P.; Vancostenoble, J. The cost of controlling strongly degenerate parabolic equations. (English) Zbl 1442.93016 ESAIM, Control Optim. Calc. Var. 26, Paper No. 2, 50 p. (2020). MSC: 93C20 33C10 35K65 35P10 93B05 93B60 PDFBibTeX XMLCite \textit{P. Cannarsa} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 2, 50 p. (2020; Zbl 1442.93016) Full Text: DOI arXiv
Mubeen, Shahid; Safdar Ali, Rana Fractional operators with generalized Mittag-Leffler \(k\)-function. (English) Zbl 1487.26013 Adv. Difference Equ. 2019, Paper No. 520, 14 p. (2019). MSC: 26A33 33E12 45P05 PDFBibTeX XMLCite \textit{S. Mubeen} and \textit{R. Safdar Ali}, Adv. Difference Equ. 2019, Paper No. 520, 14 p. (2019; Zbl 1487.26013) Full Text: DOI
Stachowiak, Tomasz Hypergeometric first integrals of the Duffing and van der Pol oscillators. (English) Zbl 1411.34052 J. Differ. Equations 266, No. 9, 5895-5911 (2019). MSC: 34C15 34A05 34A34 33C05 PDFBibTeX XMLCite \textit{T. Stachowiak}, J. Differ. Equations 266, No. 9, 5895--5911 (2019; Zbl 1411.34052) Full Text: DOI arXiv
Rozmej, Piotr; Karczewska, Anna New exact superposition solutions to KdV2 equation. (English) Zbl 1406.35298 Adv. Math. Phys. 2018, Article ID 5095482, 9 p. (2018). MSC: 35Q35 76B25 35B10 33E05 35L05 PDFBibTeX XMLCite \textit{P. Rozmej} and \textit{A. Karczewska}, Adv. Math. Phys. 2018, Article ID 5095482, 9 p. (2018; Zbl 1406.35298) Full Text: DOI arXiv
Cheng, Hongmei; Yuan, Rong The spreading property for a prey-predator reaction-diffusion system with fractional diffusion. (English) Zbl 1499.92064 Fract. Calc. Appl. Anal. 18, No. 3, 565-579 (2015). MSC: 92D25 26A33 33E12 35K91 35B35 35C07 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. Yuan}, Fract. Calc. Appl. Anal. 18, No. 3, 565--579 (2015; Zbl 1499.92064) Full Text: DOI