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Volumn 88, Issue 2, 2009, Pages 169-181

On existence and asymptotic behaviour of solutions of a fractional integral equation

Author keywords

Asymptotic behaviour; Existence; Fractional integral; Linear modification of the argument; Measure of non compactness; Quadratic integral equation; Schauder fixed point principle

Indexed keywords


EID: 67651227279     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810802713800     Document Type: Article
Times cited : (19)

References (33)
  • 2
    • 67651205529 scopus 로고    scopus 로고
    • On unique solvability of quadratic integral equations with linear modification of the argument
    • to appear
    • M. Benchohra and M.A. Darwish, On unique solvability of quadratic integral equations with linear modification of the argument, Miskolc Math. Notes (to appear).
    • Miskolc Math. Notes
    • Benchohra, M.1    Darwish, M.A.2
  • 3
    • 34547547720 scopus 로고    scopus 로고
    • Existence of nondecreasing and continuous solutions of an integral equation with linear modification of the argument
    • J. Caballero, B. López, and K. Sadarangani, Existence of nondecreasing and continuous solutions of an integral equation with linear modification of the argument, Acta Math. Sin. (Engl. Ser.) 2(9) (2007), pp. 1719-1728.
    • (2007) Acta Math. Sin. (Engl. Ser.) , vol.2 , Issue.9 , pp. 1719-1728
    • Caballero, J.1    López, B.2    Sadarangani, K.3
  • 4
    • 84971116385 scopus 로고    scopus 로고
    • J. Carr and J. Dyson, The functional differential equation y′(x) = ay(λx) + by(x), Proc. Roy. Soc. Edinburgh Sect. A 74(1974/75) (1976), pp. 165-174.
    • J. Carr and J. Dyson, The functional differential equation y′(x) = ay(λx) + by(x), Proc. Roy. Soc. Edinburgh Sect. A 74(1974/75) (1976), pp. 165-174.
  • 5
    • 67651207627 scopus 로고    scopus 로고
    • On a quadratic fractional integral equation with linear modification of the argument
    • M.A. Darwish, On a quadratic fractional integral equation with linear modification of the argument, Can. Appl. Math. Q. 16(1) (2008), pp. 45-58.
    • (2008) Can. Appl. Math. Q , vol.16 , Issue.1 , pp. 45-58
    • Darwish, M.A.1
  • 6
    • 67651233606 scopus 로고
    • Function Differential Equations: Examples and Problems
    • Springer, Berlin
    • G.M. Dunkel, Function Differential Equations: Examples and Problems, Lecture Notes in Mathematics, Vol. 144, Springer, Berlin, 1970.
    • (1970) Lecture Notes in Mathematics , vol.144
    • Dunkel, G.M.1
  • 7
    • 0030525176 scopus 로고    scopus 로고
    • M.R.S. Kulenović, Oscillation of the Euler differential equation with delay, Czechoslovak Math. J. 45(120) (1) (1995), pp. 1-6.
    • M.R.S. Kulenović, Oscillation of the Euler differential equation with delay, Czechoslovak Math. J. 45(120) (1) (1995), pp. 1-6.
  • 8
    • 34147154445 scopus 로고
    • A family of solutions of the IVP for the equation x′(t) = ax(λt), λ > 1
    • H. Melvin, A family of solutions of the IVP for the equation x′(t) = ax(λt), λ > 1, Aequationes Math. 9 (1973), pp. 273-280.
    • (1973) Aequationes Math , vol.9 , pp. 273-280
    • Melvin, H.1
  • 9
    • 34547540799 scopus 로고    scopus 로고
    • Volterra integral equations ith iterations of linear modification of the argument
    • V. Mureşan, Volterra integral equations ith iterations of linear modification of the argument, Novi Sad J. Math. 33(2) (2003), pp. 1-10.
    • (2003) Novi Sad J. Math , vol.33 , Issue.2 , pp. 1-10
    • Mureşan, V.1
  • 10
    • 25044475167 scopus 로고    scopus 로고
    • On a class of Volterra integral equations with deviating argument, Studia Univ
    • V. Mureşan, On a class of Volterra integral equations with deviating argument, Studia Univ. Babe-Bolyai Math. 44(1) (1999), pp. 47-54.
    • (1999) Babe-Bolyai Math , vol.44 , Issue.1 , pp. 47-54
    • Mureşan, V.1
  • 12
    • 34247357445 scopus 로고    scopus 로고
    • Monotonic solutions of a quadratic integral equation of fractional order
    • J. Banaś and B. Rzepka, Monotonic solutions of a quadratic integral equation of fractional order, J. Math. Anal. Appl. 332 (2007), pp. 1370-1378.
    • (2007) J. Math. Anal. Appl , vol.332 , pp. 1370-1378
    • Banaś, J.1    Rzepka, B.2
  • 13
    • 43949139899 scopus 로고    scopus 로고
    • On existence and local attractivity of solutions of a quadratic integral equation of fractional order
    • J. Banaś and D. O'Regan, On existence and local attractivity of solutions of a quadratic integral equation of fractional order, J. Math. Anal. Appl. 345 (2008), pp. 573-582.
    • (2008) J. Math. Anal. Appl , vol.345 , pp. 573-582
    • Banaś, J.1    O'Regan, D.2
  • 14
    • 24744435151 scopus 로고    scopus 로고
    • On quadratic integral equation of fractional orders
    • M.A. Darwish, On quadratic integral equation of fractional orders, J. Math. Anal. Appl. 311 (2005), pp. 112-119.
    • (2005) J. Math. Anal. Appl , vol.311 , pp. 112-119
    • Darwish, M.A.1
  • 16
    • 37349085309 scopus 로고    scopus 로고
    • On solvability of some quadratic functional-integral equation in Banach algebra
    • M.A. Darwish, On solvability of some quadratic functional-integral equation in Banach algebra, Commun. Appl. Anal. 11 (3-4) (2007), pp. 441-450.
    • (2007) Commun. Appl. Anal , vol.11 , Issue.3-4 , pp. 441-450
    • Darwish, M.A.1
  • 17
    • 67651205530 scopus 로고    scopus 로고
    • On monotonic solutions of an integral equation of Abel type
    • M.A. Darwish, On monotonic solutions of an integral equation of Abel type, Math. Bohem. 133(4) (2008), pp. 407-420.
    • (2008) Math. Bohem , vol.133 , Issue.4 , pp. 407-420
    • Darwish, M.A.1
  • 18
    • 67651233605 scopus 로고    scopus 로고
    • On monotonic solutions of a singular quadratic integral equation with supremum
    • M.A. Darwish, On monotonic solutions of a singular quadratic integral equation with supremum, Dynam. Syst. Appl. 17 (2008), pp. 539-549.
    • (2008) Dynam. Syst. Appl , vol.17 , pp. 539-549
    • Darwish, M.A.1
  • 22
    • 84971139349 scopus 로고
    • Quadratic equations and applications to Chandrasekhar's and related equations
    • I.K. Argyros, Quadratic equations and applications to Chandrasekhar's and related equations, Bull. Austral. Math. Soc. 32 (1985), pp. 275-292.
    • (1985) Bull. Austral. Math. Soc , vol.32 , pp. 275-292
    • Argyros, I.K.1
  • 23
    • 0000572640 scopus 로고    scopus 로고
    • Existence theorems of some quadratic integral equations
    • J. Banas, M. Lecko, and W.G. El-Sayed, Existence theorems of some quadratic integral equations, J. Math. Anal. Appl. 222 (1998), pp. 276-285.
    • (1998) J. Math. Anal. Appl , vol.222 , pp. 276-285
    • Banas, J.1    Lecko, M.2    El-Sayed, W.G.3
  • 25
    • 0004475314 scopus 로고
    • Integral equations arising in the kinetic theory of gases
    • S. Hu, M. Khavani, and W. Zhuang, Integral equations arising in the kinetic theory of gases, Appl. Anal. 34 (1989), pp. 261-266.
    • (1989) Appl. Anal , vol.34 , pp. 261-266
    • Hu, S.1    Khavani, M.2    Zhuang, W.3
  • 26
    • 0042854752 scopus 로고    scopus 로고
    • On existence and asymptotic stability of solutions of a non-linear integral equation
    • J. Banaś and B. Rzepka, On existence and asymptotic stability of solutions of a non-linear integral equation, J. Math. Anal. Appl. 284 (2003), pp. 165-173.
    • (2003) J. Math. Anal. Appl , vol.284 , pp. 165-173
    • Banaś, J.1    Rzepka, B.2
  • 27
    • 35548939485 scopus 로고    scopus 로고
    • On global attractivity of solutions of a functional-integral equation
    • M.A. Darwish, On global attractivity of solutions of a functional-integral equation, Electron. J. Qual. Theory Differ. Equ. 2007(21) (2007), pp. 1-10.
    • (2007) Electron. J. Qual. Theory Differ. Equ. 2007 , vol.21 , pp. 1-10
    • Darwish, M.A.1
  • 29
    • 0020155503 scopus 로고
    • Approximation of solutions of some quadratic integral equations in transport theory, J
    • C.T. Kelley, Approximation of solutions of some quadratic integral equations in transport theory, J. Integral Eq. 4 (1982), pp. 221-237.
    • (1982) Integral Eq , vol.4 , pp. 221-237
    • Kelley, C.T.1
  • 30
    • 0005282627 scopus 로고
    • A new approach to the H-equation of Chandrasekher
    • R.W. Leggett, A new approach to the H-equation of Chandrasekher, SIAM J. Math. 7 (1976), pp. 542-550.
    • (1976) SIAM J. Math , vol.7 , pp. 542-550
    • Leggett, R.W.1
  • 32
    • 0040251789 scopus 로고
    • Measures of noncompactness in the space of continuous tempered functions
    • J. Banaś, Measures of noncompactness in the space of continuous tempered functions, Demonstratio Math. 14 (1981), pp. 127-133.
    • (1981) Demonstratio Math , vol.14 , pp. 127-133
    • Banaś, J.1
  • 33
    • 1242313975 scopus 로고    scopus 로고
    • Measures of noncompactness related to monotonicity
    • J. Banaś and L. Olszowy, Measures of noncompactness related to monotonicity, Comment. Math. 41 (2001), pp. 13-23.
    • (2001) Comment. Math , vol.41 , pp. 13-23
    • Banaś, J.1    Olszowy, L.2


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