Yıl 2018, Cilt 47, Sayı 3, Sayfalar 553 - 566 2018-06-01
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## A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel

#### Ali H. Bhrawy [1] , Mohamed A. Abdelkawy [2] , Dumitru Baleanu [3] , Ahmed Z.M. Amin [4]

##### 33 174

This paper adapts a new numerical technique for solving two-dimensional fractional integral equations with weakly singular. Using the spectral collocation method, the fractional operators of Legendre and Chebyshev polynomials, and Gauss-quadrature formula, we achieve a reduction of given problems into those of a system of algebraic equations. We apply the reported numerical method to solve several numerical examples in order to test the accuracy and validity. Thus, the novel algorithm is more responsible for solving two-dimensional fractional integral equations with weakly singular.

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Birincil Dil en Matematik Matematik Yazar: Ali H. Bhrawy Yazar: Mohamed A. Abdelkawy Yazar: Dumitru Baleanu Yazar: Ahmed Z.M. Amin
 Bibtex @araştırma makalesi { hujms439933, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {553 - 566}, doi = {}, title = {A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel}, key = {cite}, author = {Bhrawy, Ali H. and Abdelkawy, Mohamed A. and Baleanu, Dumitru and Amin, Ahmed Z.M.} } APA Bhrawy, A , Abdelkawy, M , Baleanu, D , Amin, A . (2018). A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel. Hacettepe Journal of Mathematics and Statistics, 47 (3), 553-566. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/439933 MLA Bhrawy, A , Abdelkawy, M , Baleanu, D , Amin, A . "A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel". Hacettepe Journal of Mathematics and Statistics 47 (2018): 553-566 Chicago Bhrawy, A , Abdelkawy, M , Baleanu, D , Amin, A . "A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel". Hacettepe Journal of Mathematics and Statistics 47 (2018): 553-566 RIS TY - JOUR T1 - A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel AU - Ali H. Bhrawy , Mohamed A. Abdelkawy , Dumitru Baleanu , Ahmed Z.M. Amin Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 553 EP - 566 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel %A Ali H. Bhrawy , Mohamed A. Abdelkawy , Dumitru Baleanu , Ahmed Z.M. Amin %T A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U ISNAD Bhrawy, Ali H. , Abdelkawy, Mohamed A. , Baleanu, Dumitru , Amin, Ahmed Z.M. . "A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 553-566.