Saha, Dipankar, Sarkar, Nimai, Sen, Mausumi, Saha, Subhankar. (1400). A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order. هنرهای کاربردی, 13(Special Issue for selected papers of ICDACT-2021), 133-145. doi: 10.22075/ijnaa.2022.6339
Dipankar Saha; Nimai Sarkar; Mausumi Sen; Subhankar Saha. "A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order". هنرهای کاربردی, 13, Special Issue for selected papers of ICDACT-2021, 1400, 133-145. doi: 10.22075/ijnaa.2022.6339
Saha, Dipankar, Sarkar, Nimai, Sen, Mausumi, Saha, Subhankar. (1400). 'A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order', هنرهای کاربردی, 13(Special Issue for selected papers of ICDACT-2021), pp. 133-145. doi: 10.22075/ijnaa.2022.6339
Saha, Dipankar, Sarkar, Nimai, Sen, Mausumi, Saha, Subhankar. A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order. هنرهای کاربردی, 1400; 13(Special Issue for selected papers of ICDACT-2021): 133-145. doi: 10.22075/ijnaa.2022.6339

A novel numerical technique and stability criterion of VF type integro-differential equations of non-integer order

International Journal of Nonlinear Analysis and Applications
دوره 13، Special Issue for selected papers of ICDACT-2021، خرداد 2022، صفحه 133-145    اصل مقاله (429.65 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6339
نویسندگان
Dipankar Saha1؛ Nimai Sarkar* 1؛ Mausumi Sen1؛ Subhankar Saha2
1Department of Mathematics, National Institute of Technology Silchar, Assam, India
2Department of Mechanical Engineering, National Institute of Technology Silchar, Assam, India
چکیده
In this article, Ulam Hyers stability of Volterra Fredholm (VF) type fractional integro-differential equation is studied by the fixed point notion in the generalized metric space. In addition, the efficiency of the Laplace decomposition method in the context of solving some integral equations of the Volterra Fredholm type is shown. Further convergence analysis of the numerical scheme is shown.
کلیدواژه‌ها
Fixed point؛ Ulam Hyers stability؛ Metric space
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