s
[1] A. Aghajani, J. Bana´s and Y. Jalilian, Existence of solution for a class of nonlinear Volterra singular integral
equation, Comput. Math. Appl. , 62 (2011) 1215-1227.
[2] A. Aghajani, M. Mursaleen and A. Shole Haghighi, Fixed point theorems for Meir–Keeler condensing operators
via measure of noncompactness, Acta Math. Sci. , 35B(3) (2015) 552–566.
[3] A. Aghajani, E. Pourhadi and J.J. Trujillo, Application of measure of noncompactness to a Cauchy problem for
fractional differential equation in Banach spaces, Fract. Calc. Appl. Anal., 16(4) (2003) 962—977.
[4] R. Arab, R. Allahyari and A. Shole Haghighi, Existence of solutions of infinite systems of integral equations in
two variables via measure of noncompactness, Appl. Math. Comput., 246 (2014) 283-291.
[5] J. Bana´s and K. Goebel, Measure of noncompactness in Banach spaces, Lecture notes in pure and applied
mathematics. vol. 60. New York: Marcel Dekker, (1980).
[6] J. Bana´s and D. O’Regan, On existence and local attractivity of solutions of a quadratic Volterra integral eqution
of fraction order, J. Math. Anal. Appl. , 345 (2008) 573-582.
[7] J. Bana´s M. and Mursaleen, Sequence spaces and measures of noncompactness with applications to differential
and integral equations, New Delhi: Springer, (201[8] E. Cuesta and J.F Codes, Image processing by means of a linear integro-differential equation Visualization imaging
and image processing (2003), paper 91, Clagary, (2003). Hamza MH, editor. Acta Press.
[9] G. Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend Sem Mat Univ Padova., 24 (1955)
84–92.
[10] W. Deng, Short memory principal and a predictor corrector approach for fractional differential equations, J.
Comput. Appl. Math., 206 (2007) 174–188.
[11] K. Diethelm, The analysis of fractional differential equations An application-oriented exposition using differential
operators of Caputo type, Springer Science Business Media (2010).
[12] L.S. Goldenˇstein, L.T. Gohberg and A.S. Murkus, Investigations of some properties of bounded linear operators
with their q-norms, Uˇcen. Zap. Kishinevsk. Uni. , 29 (1957) 29-36.
[13] L.S. Goldenˇstein and A.S. Murkus, On a meausure of noncompactness of bounded sets and linear operators,
Studies in Algebra and Math. Anal. kishinev, (1965) 45-54.
[14] B. Hazarika, E. Karapınar, R. Arab and M. Rabbani, Metric-like spaces to prove existence of solution for nonlinear
quadratic integral equation and numerical method to solve it, J. Comput. Appl. Math., 328 (15)(2018) 302–313.
[15] A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations,
Elsevier Science Publishers, vol. 204, 2006.
[16] K. Kuratowski, Sur les espaces complets, Fund. Math., 15 (1930) 301-309.
[17] K. Maleknejad, P. Torabi and R. Mollapourasl, Fixed point method for solving nonlinear quadratic Volterra
integral equations, Comput. Math. Appl., 62 (2011) 2555-2566.
[18] A. Meir and E.A. Keeler, Theorem on contraction mappings, J. Math. Anal. Appl., 28 (1969) 326–329.
[19] M. Mursaleen, Application of measure of noncompactness to infinite system of differential equations, Canad.
Math. Bull., 56 (2013) 388-394.
[20] M. Mursaleen, Some geometric properties of a sequence space related to l
p
, Bull. Austral. Math. Soc. , 67 (2003)
343-347.
[21] M. Mursaleen, Differential equations in classical sequence spaces, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A
Math. RACSAM, 111(2) (2017) 587–612.
[22] M. Mursaleen and A. Alotaibi, Infinite system of differential equations in some BK spaces, Abstract Appl. Anal.,
Volume 2012, Article ID 863483, 20 pages.
[23] M. Mursaleen, B. Bilalov and S.M.H. Rizvi, Applications of measure of noncompactness to infinite system of
fractional differential equations, Filomat. 31 (11) (2017) 3421–3432.
[24] I. Podlubny, Fractional order systems and fractional order controllers, Technical report uef-03-94. Institute of
Experimental Physics, Slovak Acad. of Sci.; (1994).
[25] I. Podlubny, Fractional Differential Equations An Introduction to Fractional Derivatives, Fractional Differential
Equations, to Methods of their Solution and Some of Their Applications, Elsevier, vol. 198, 1998.
[26] M. Rabbani, A. Das, B. Hazarika and R. Arab, Measure of noncompactness of a new space of tempered sequences
and its application on fractional differential equations, Chaos, Solitons and Fractals 140 (2020) 110221.
[27] W.L.C Sargent, Some sequence spaces related to the HP spaces, J. London Math. Soc. 35 (1960) 161-171.