×

Analytical approaches on the attractivity of solutions for multiterm fractional functional evolution equations. (English) Zbl 1503.34146

MSC:

34K37 Functional-differential equations with fractional derivatives
34K25 Asymptotic theory of functional-differential equations
47N20 Applications of operator theory to differential and integral equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Arshad, S.; Lupulescu, V.; O’Regan, D., LP-solutions for fractional integral equations, Fractional Calculus and Applied Analysis, 17, 1, 259-276 (2014) · Zbl 1312.45003 · doi:10.2478/s13540-014-0166-4
[2] Li, K.; Peng, J.; Gao, J., Nonlocal fractional semilinear differential equations in separable Banach spaces, Electronic Journal of Differential Equations, 2013, 7, 1-7 (2013) · Zbl 1292.26024
[3] Song, S.; Cui, Y., Existence of solutions for integral boundary value problems of mixed fractional differential equations under resonance, Boundary Value Problems, 2020 (2020) · Zbl 1495.34040 · doi:10.1186/s13661-020-01332-5
[4] Sousa, J. C. V.; Oliveira, E. C., Proceeding Series of the Brazilian Society of Computational and Applied Mathematics
[5] Chang, Y. K.; Ponce, R.; Rueda, S., Fractional differential equations of Sobolev type with sectorial operators, Semigroup Forum, 99, 3, 591-606 (2019) · Zbl 1471.34118 · doi:10.1007/s00233-019-10038-9
[6] Sousa, J. C. V.; Kucche, D. K.; De Oliveira, E. C., Stability of ψ-Hilfer impulsive fractional differential equations, Applied Mathematics Letters, 88, 73-80 (2019) · Zbl 1408.34006 · doi:10.1016/j.aml.2018.08.013
[7] Zhou, M.; Ahmad, B.; Zhou, Y., Existence of attractive solutions for Hilfer fractional evolution equations with almost sectorial operators, Symmetry, 14, 2, 392 (2022) · doi:10.3390/sym14020392
[8] Abbas, S.; Benchohra, M.; Hamidi, N.; N’Guérékata, G., Existence and attractivity results for coupled systems of nonlinear Volterra-Stieltjes multidelay fractional partial integral equations, Abstract and Applied Analysis, 2018 (2018) · Zbl 1470.45002 · doi:10.1155/2018/8735614
[9] Pang, D.; Wei, J.; Niazi, A. U. K.; Sheng, J., Existence and optimal controls for nonlocal fractional evolution equations of order (1, 2) in Banach spaces, Adv. Difference Equ., 2021, 1, 1-19 (2021) · Zbl 1494.34048 · doi:10.1186/s13662-021-03430-9
[10] Niazi, A. U. K.; Iqbal, N.; Mohammad, W. W., Optimal control of nonlocal fractional evolution equations in the α-norm of order \((1,2)\), Adv. Difference Equ., 2021, 1, 1-22 (2021) · Zbl 1494.34177 · doi:10.1186/s13662-021-03312-0
[11] Yang, M.; Alseadi, A.; Ahamd, B.; Zhou, Y., Attractivity for Hilfer fractional stochastic evolution equations, Adv. Difference Equ., 2020, 1, 1-22 (2020) · Zbl 1482.34039 · doi:10.1186/s13662-020-02582-4
[12] Chen, F.; Nieto, J. J.; Zhou, Y., Global attractivity for nonlinear fractional differential equations, Nonlinear Analysis: Real World Applications, 13, 1, 287-298 (2012) · Zbl 1238.34011 · doi:10.1016/j.nonrwa.2011.07.034
[13] Jalilian, Y.; Ghasemi, M., On the solutions of a nonlinear fractional integro-differential equation of pantograph type, Mediterranean Journal of Mathematics, 14, 5, 1-23 (2017) · Zbl 1382.65468 · doi:10.1007/s00009-017-0993-8
[14] Ntouyas, S. K., A survey on existence results for boundary value problems of Hilfer fractional differential equations and inclusions, Foundations, 1, 1, 63-98 (2021) · doi:10.3390/foundations1010007
[15] Boulfoul, A.; Tellab, B.; Abdellouahab, N.; Zennir, K., Existence and uniqueness results for initial value problem of nonlinear fractional integro-differential equation on an unbounded domain in a weighted Banach space, Mathematical Methods in the Applied Sciences, 44, 5, 3509-3520 (2021) · Zbl 1471.34147 · doi:10.1002/mma.6957
[16] Zhou, Y.; Peng, L., On the time-fractional Navier-Stokes equations, Computers and Mathematics with Applications, 73, 6, 874-891 (2017) · Zbl 1409.76027 · doi:10.1016/j.camwa.2016.03.026
[17] Kilbas, A. A.; Srivastava, H. M.; Trujillo, J. J., Theory and applications of fractional differential equations, Elsevier, 204 (2006) · Zbl 1092.45003
[18] Chen, F.; Zhou, Y., Attractivity of fractional functional differential equations, Computers and Mathematics with Applications, 62, 3, 1359-1369 (2011) · Zbl 1228.34017 · doi:10.1016/j.camwa.2011.03.062
[19] Hu, X.; Yan, J., The global attractivity and asymptotic stability of solution of a nonlinear integral equation, Journal of Mathematical Analysis and Applications, 321, 1, 147-156 (2006) · Zbl 1108.45006 · doi:10.1016/j.jmaa.2005.08.010
[20] Khastan, A.; Nieto, J. J.; Rodríguez-López, R., Schauder fixed-point t5heorem in semilinear spaces and its application to fractional differential equations with uncertainty, Fixed Point Theory and Applications, 2014 (2014) · Zbl 1391.34004 · doi:10.1186/1687-1812-2014-21
[21] Banas, J.; O’Regan, D., On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order, Journal of Mathematical Analysis and Applications, 345, 1, 573-582 (2008) · Zbl 1147.45003 · doi:10.1016/j.jmaa.2008.04.050
[22] Aghajani, A.; Banaś, J.; Sabzali, N., Some generalizations of Darbo fixed point theorem and applications, Bulletin of the Belgian Mathematical Society, 20, 2, 345-358 (2013) · Zbl 1290.47053 · doi:10.36045/bbms/1369316549
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.