[1] |
Toledano, J. M.A.; Benavides, T. D.; Acedo, G. L., Measures of Noncompactness in Metric Fixed Point Theory, 1997, Dordrecht: Springer, Dordrecht · Zbl 0885.47021 · doi:10.1007/978-3-0348-8920-9 |
[2] |
Gabeleh, M.; Malkowsky, E.; Mursaleen, M.; Rakočević, V., A new survey of measures of noncompactness and their applications, Axioms, 11, 6, 2022 · doi:10.3390/axioms11060299 |
[3] |
Samei, M. E., Employing Kuratowski measure of noncompactness for positive solutions of system of singular fractional q-differential equations with numerical effects, Filomat, 34, 9, 1-19, 2020 · doi:10.1186/10.2298/FIL2009971S |
[4] |
Zeidler, E., Nonlinear Functional Analysis and Its Applications, 1986, New York: Springer, New York · Zbl 0583.47050 · doi:10.1007/978-1-4612-4838-5 |
[5] |
Schauder, J., Der fixpunktsatz in funktionalraumen, Stud. Math., 2, 171-180, 1930 · JFM 56.0355.01 · doi:10.4064/sm-2-1-171-180 |
[6] |
Banaś, J.; Mursaleen, M., Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations, 2014, New Delhi: Springer, New Delhi · Zbl 1323.47001 · doi:10.1007/978-81-322-1886-9 |
[7] |
Deimling, K., Nonlinear Functional Analysis, 1985, Berlin: Springer, Berlin · Zbl 0559.47040 · doi:10.1007/978-3-662-00547-7 |
[8] |
Darbo, G., Punti uniti in transformazioni a codominio non compatto, Rend. Semin. Mat. Univ. Padova, 24, 84-92, 1955 · Zbl 0064.35704 |
[9] |
Kilbas, A. A.; Srivastava, H. M.; Trujillo, J. J., Theory and Applications of Fractional Differential Equations, 2006, Amsterdam: Elsevier, Amsterdam · Zbl 1092.45003 |
[10] |
Sabatier, J. A.T. M.J.; Agrawal, O. P.; Machado, J. T., Advances in Fractional Calculus, 2007, Dordrecht: Springer, Dordrecht · Zbl 1116.00014 · doi:10.1007/978-1-4020-6042-7 |
[11] |
Furati, K. M.; Kassim, M. D.; Tatar, N. E., Existence and uniqueness for a problem involving Hilfer fractional derivative, Comput. Math. Appl., 64, 6, 1616-1626, 2012 · Zbl 1268.34013 · doi:10.1016/j.camwa.2012.01.009 |
[12] |
Sousa, J. V.D. C.; Oliveira, E. C.D., On the ψ-Hilfer fractional derivative, Commun. Nonlinear Sci. Numer. Simul., 60, 72-91, 2018 · Zbl 1470.26015 · doi:10.1016/j.cnsns.2018.01.005 |
[13] |
Haque, I.; Ali, J.; Mursaleen, M., Existence of solutions for an infinite system of Hilfer fractional boundary value problems in tempered sequence spaces, Alex. Eng. J., 65, 575-583, 2023 · doi:10.1016/j.aej.2022.09.032 |
[14] |
Haque, I.; Ali, J.; Mursaleen, M., Controllability of ψ-Hilfer fractional differential equations with infinite delay via measure of noncompactness, Nonlinear Anal., Model. Control, 29, 2, 379-399, 2023 · Zbl 1542.34061 · doi:10.15388/namc.2024.29.34706 |
[15] |
Mursaleen, M.; Savaş, E., Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space, J. Pseudo-Differ. Oper. Appl., 14, 2023 · Zbl 1532.34026 · doi:10.1007/s11868-023-00552-4 |
[16] |
Haddouchi, F.; Samei, M. E.; Rezapour, M. E., Study of a sequential ψ-Hilfer fractional integro-differential equations with nonlocal bcs, J. Pseudo-Differ. Oper. Appl., 14, 2023 · Zbl 1526.45007 · doi:10.1007/s11868-023-00555-1 |
[17] |
Mursaleen, M. A., A note on matrix domains of Copson matrix of order α and compact operators, Iran. J. Sci., 15, 7, 2022 · Zbl 1504.26061 · doi:10.1142/S1793557122501406 |
[18] |
Thabet, S. T.M.; Vivas-Cortez, M.; Kedim, I.; Samei, M. E.; Iadh Ayari, M., Solvability of ϱ-Hilfer fractional snap dynamic system on unbounded domains, Fractal Fract., 7, 8, 2023 · doi:10.3390/fractalfract7080607 |
[19] |
Cai, Q̧. B.; Sharma, S. K.; Mursaleen, M. A., A note on lacunary sequence spaces of fractional difference operator of order \((\alpha , \beta )\), Nonlinear Anal., Model. Control, 2022, 2022 · Zbl 1495.46009 · doi:10.1155/2022/2779479 |
[20] |
Berhail, A.; Tabouche, N.; Alzabut, J.; Samei, M. E., Using Hilfer-Katugampola fractional derivative in initial value Mathieu fractional differential equations with application on particle in the plane, Adv. Cont. Discr. Mod., 2022, 2022 · doi:10.1186/s13662-022-03716-6 |
[21] |
Rao, N.; Raiz, M.; Ayman-Mursaleen, M.; Mishra, V. N., Approximation properties of extended beta-type Szász-Mirakjan operators, Iran. J. Sci., 47, 1771-1781, 2023 · doi:10.1007/s40995-023-01550-3 |
[22] |
Samei, M. E.; Hatami, A., To numerical explore a fractional implicit q-differential equations with Hilfer type and via nonlocal conditions, Math. Anal. Convex Optim., 4, 1, 97-117, 2023 · doi:10.22034/maco.4.1.9 |
[23] |
Patle, P. R.; Gabeleh, M.; Rakočević, V., On new classes of cyclic (noncyclic) condensing operators with applications, J. Nonlinear Convex Anal., 23, 7, 1335-1351, 2022 · Zbl 1440.34014 · doi:10.36045/bbms/1576206350 |
[24] |
Gabeleh, M.; Vetro, C., A best proximity point approach to existence of solutions for a system of ordinary differential equations, Bull. Belg. Math. Soc. Simon Stevin, 26, 4, 493-503, 2019 · Zbl 1440.34014 · doi:10.36045/bbms/1576206350 |
[25] |
Patle, P. R.; Gabeleh, M.; Rakočević, V.; Samei, M. E., New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of ψ-Hilfer fractional differential equations, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., 117, 2023 · Zbl 1519.47059 · doi:10.1007/s13398-023-01451-5 |
[26] |
Patle, P. R.; Gabeleh, M.; Rakočević, V., Sadovskii type best proximity point (pair) theorems with an application to fractional differential equations, Mediterr. J. Math., 19, 3, 2022 · Zbl 07531063 · doi:10.1007/s00009-022-02058-7 |
[27] |
Gabeleh, M.; Markin, J., Global optimal solutions of a system of differential equations via measure of noncompactness, Filomat, 35, 15, 5059-5071, 2021 · doi:10.2298/FIL2115059G |
[28] |
Gabeleh, M.; Patel, D. K.; Patle, P. R., Darbo type best proximity point (pair) results using measure of noncompactness with application, Fixed Point Theory, 23, 1, 247-266, 2022 · Zbl 07606926 · doi:10.24193/fpt-ro.2022.1.16 |
[29] |
Gabeleh, M.; Markin, J., Optimum solutions for a system of differential equations via measure of noncompactness, Indag. Math., 29, 3, 895-906, 2018 · Zbl 06868638 · doi:10.1016/j.indag.2018.01.008 |
[30] |
Gabeleh, M.; Vetro, C., A new extension of Darbo’s fixed point theorem using relatively Meir-Keeler condensing operators, Bull. Aust. Math. Soc., 98, 2, 247-266, 2018 · Zbl 06945106 · doi:10.1017/S000497271800045X |
[31] |
Aghajani, A.; Mursaleen, M.; Haghighi, A. S., Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness, Acta Math. Sci., 35, 3, 552-566, 2015 · Zbl 1487.34038 · doi:10.1186/s13662-019-2480-y |
[32] |
Shahzad, N.; Roldán López de Hierro, A. F.; Khojasteh, F., Some new fixed point theorems under \(\mathcal{(A, S)} \)-contractivity conditions, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., 111, 307-324, 2017 · Zbl 1361.54028 · doi:10.1007/s13398-016-0295-1 |
[33] |
Roldán López de Hierro, A. F.; Shahzad, N., New fixed point theorem under r-contractions, Fixed Point Theory Appl., 2015, 2015 · Zbl 1462.54095 · doi:10.1186/s13663-015-0345-y |
[34] |
Akhmerov, R. R.; Kamenskii, M. I.; Potapov, A. S.; Rodkina, A. E.; Sadovski, B. N., Measure of Noncompactness and Condensing Operators, 1992, Basel: Birkhäuser, Basel · Zbl 0748.47045 · doi:10.1007/978-3-0348-5727-7 |
[35] |
Kuchhe, K. D.; Mali, A. D., On the nonlinear \((k,\psi )\)-Hilfer fractional differential equations, Chaos Solitons Fractals, 152, 2, 2021 · Zbl 1510.34015 · doi:10.1016/j.chaos.2021.111335 |
[36] |
Kucche, K. D.; Mali, A. D., On the nonlinear impulsive \((k , \psi )\)-Hilfer fractional differential equations, Chaos Solitons Fractals, 152, 2021 · Zbl 1510.34015 · doi:10.1016/j.chaos.2021.111335 |
[37] |
Diethelm, K., The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus, Fract. Calc. Appl. Anal., 15, 304-313, 2012 · Zbl 1284.34010 · doi:10.2478/s13540-012-0022-3 |
[38] |
Amiri, P.; Samei, M. E., Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators, Chaos Solitons Fractals, 165, 2, 2022 · Zbl 1508.45002 · doi:10.1016/j.chaos.2022.112822 |
[39] |
Adjimi, N.; Boutiara, A.; Samei, M. E.; Etemad, S.; Rezapour, S.; Chu, Y. M., On solutions of a hybrid generalized Caputo-type problem via the measure of noncompactness in the generalized version of Darbo’s theorem, J. Inequal. Appl., 2023, 2023 · Zbl 1532.34005 · doi:10.1186/s13660-023-02919-z |
[40] |
Etemad, S.; Iqbal, I.; Samei, M. E.; Rezapour, S.; Alzabut, J.; Sudsutad, W.; Goksel, I., Some inequalities on multi-functions for applying fractional Caputo-Hadamard jerk inclusion system, J. Inequal. Appl., 2022, 2022 · Zbl 1506.34014 · doi:10.1186/s13660-022-02819-8 |
[41] |
Houas, M.; Samei, M. E., Existence and stability of solutions for linear and nonlinear damping of q-fractional Duffing-Rayleigh problem, Mediterr. J. Math., 20, 2023 · Zbl 1538.34026 · doi:10.1007/s00009-023-02355-9 |
[42] |
Bhairat, S. P.; Samei, M. E., Non-existence of a global solution for Hilfer-Katugampola fractional differential problem, Partial Differ. Equ. Appl. Math., 7, 2023 · doi:10.1016/j.padiff.2023.100495 |
[43] |
Shabibi, M.; Samei, M. E.; Ghaderi, M.; Rezapour, S., Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions, Adv. Differ. Equ., 2021, 2021 · Zbl 1494.34057 · doi:10.1186/s13662-021-03623-2 |