Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations

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Khanehgir Mahnaz; Allahyari Reza; Gholamian Nayereh

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Journal: MATHEMATICAL SCIENCES Year:2018 | Volume:12 | Issue:1 Page(s): 17-24

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Title

Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations

Author(s)

Khanehgir Mahnaz | Allahyari Reza | Gholamian Nayereh | Issue Writer Certificate

Keywords

Darbo’

s fixed point theorem

Integral-differential equation

Measure of noncompactness

Sobolev space

Abstract

In this paper, first we introduce a measure of noncompactness in the Sobolev space Wk; 1ð XÞ and then, as an application, we study the existence of solutions for a class of the functional integral-differential equations using Darbo’; s fixed point theorem associated with this new measure of noncompactness. Further, two examples are presented to verify the effectiveness and applicability of our main results.

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APA: Copy

Khanehgir, Mahnaz, Allahyari, Reza, & Gholamian, Nayereh. (2018). Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations. MATHEMATICAL SCIENCES, 12(1), 17-24. SID. https://sid.ir/paper/322722/en

Vancouver: Copy

Khanehgir Mahnaz, Allahyari Reza, Gholamian Nayereh. Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations. MATHEMATICAL SCIENCES[Internet]. 2018;12(1):17-24. Available from: https://sid.ir/paper/322722/en

IEEE: Copy

Mahnaz Khanehgir, Reza Allahyari, and Nayereh Gholamian, “Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations,” MATHEMATICAL SCIENCES, vol. 12, no. 1, pp. 17–24, 2018, [Online]. Available: https://sid.ir/paper/322722/en

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