A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay
By V. Vijayakumar, R. Udhayakumar. Numerical Methods for Partial Differential Equations, 2020
65 citations recorded by the source corpus.
This article is primarily focusing on the existence of Sobolev‐type Hilfer fractional neutral integro‐differential systems via measure of noncompactness. We study our primary outcomes by employing fractional calculus, measure of noncompactness and fixed point technique. First, we discuss the existence of mild solution for the fractional evolution system. Then, we extend our results to discuss the system with nonlocal conditions. Finally, we provide theoretical and practical applications to illustrate the obtained theory.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/1b87891cec4c7e81c536988032866605a4d2b9d0
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In Applied Mathematics
- Kottakkaran Sooppy Nisar
- V. Vijayakumar
- Chokkalingam Ravichandran
- Kishor D. Kucche
- R. Udhayakumar
- Behzad Ghanbari
- M. Mohan Raja
- Sunil Kumar
In Modeling and Simulation
- Kottakkaran Sooppy Nisar
- V. Vijayakumar
- Chokkalingam Ravichandran
- Kishor D. Kucche
- R. Udhayakumar
- Behzad Ghanbari
- Sunil Kumar
- M. Mohan Raja
Citations in the corpus
- New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 < r < 2 (2021, background): “A broad list of these distributions can be discovered in [6, 9, 11–16, 18–24, 43, 44–50].”