On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition

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DOI:

https://doi.org/10.26637/MJM0603/0005

Abstract


The aim of the present paper is to establish the existence and uniqueness of solutions of fractional integrodifferential equations with an integral fractional boundary condition in Banach spaces.

Keywords:

Fractional integrodifferential equations, fractional integral boundary value conditions, existence of solution

Mathematics Subject Classification:

Mathematics
  • V. V. Kharat Department of Mathematics, N. B. Navale Sinhgad college of Enggineering, Kegaon, Solapur-413255, India.
  • Pages: 485-491
  • Date Published: 01-07-2018
  • Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

R. P. Agarwal, B. Andrade and C. Cuevas; Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations, Nonlinear Anal. Real World Appl. 11 (2010), 3532 - 3554.

B. Ahmad; Existence of solutionsfor irregular boundary value problems of nonlinear fractional differential equations, Appl. Math. Lett., 23 (2010), 390 - 394.

B. Ahmad, A. A. Alsaedi and B. Alghandi; Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions, Nonlinear Anal. Real World Appl. 9 (2008), 1727 - 1740.

B. Ahmad, T. Hayat and S. Asghar; Diffraction of a plane wave by an elastic knife-edge adjacent to a strip, Cacad. Appl. Math. Quart., 9 (2001), 303 - 316.

A. Ahmadkhanlu; Existence and uniqueness results for a class of Fractional differential Equations with an Integral Fractional Boundary Condition, Filomat, $31: 5$ (2017), $1241-1249$.

A. Granas, J. Dugundji; Fixed Point Theory, SpringerVerlag, New York, (2005).

T. B. Jagtap and V. V. Kharat; On Existence of Solution to Nonlinear fractional Integrodifferential System, Journal of Trajectory, 22 (1), 2014.

S. D. Kendre, T. B. Jagtap and V. V. Kharat; On nonlinear Fractional integrodifferential equations with nonlocal condition in Banach spaces, Nonl. Anal. Diff. Eq., 1 (3) $2013,129-141$.

S. D. Kendre, V. V. Kharat and T. B. Jagtap; On Abstract Nonlinear Fractional Integrodifferential Eauations with Integral Boundary condition, Comm. Appl. Nonl. Anal., $22(3), 2015,93-108$

S. D. Kendre, V. V. Kharat and T. B. Jagtap; On Fractional Integrodifferential Equations with Fractional Nonseparated Boundary conditions, Int. Jou. Appl. Math. Sci., 13 (3) $2013,169-181$.

A. A. Kilbas, H. M. Srivastava, J. J. Trujillo; Theory and applications of fractional differential equations, North Holland Mathematics Studies, vol.204, Elsevier Science B. V., Amsterdam , (2006).

V. Lakshmikantham and A. S. Vatsala; Basic theory of fractional differential equations, Nonlinear Analysis: $T M A, 69,8(2008), 2677$ - 2682.

K. S. Miller, B. Ross; An introduction to the fractional calculus and differential equations, John Wiley, New York, (1993).

S. K. Ntouyas; Existence results for first order boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions, Journal of Fractional Calculus and Applications, 3(9) $(2012), 1-14$

I. Podlubny; Fractional differential equations, Academic Press, San Diego, (1999).

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Published

01-07-2018

How to Cite

V. V. Kharat. “On Existence and Uniqueness of Fractional Integrodifferential Equations With an Integral Fractional Boundary Condition”. Malaya Journal of Matematik, vol. 6, no. 03, July 2018, pp. 485-91, doi:10.26637/MJM0603/0005.