Existence of solutions of non-autonomous fractional differential equations with integral impulse condition

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作者
Ashish Kumar
Harsh Vardhan Singh Chauhan
Chokkalingam Ravichandran
Kottakkaran Sooppy Nisar
Dumitru Baleanu
机构
[1] Government PG College,Department of Mathematics
[2] University of Delhi,Department of Mathematics
[3] Kongunadu Arts and Science College (Autonomous),Post Graduate and Research Department of Mathematics
[4] Prince Sattam bin Abdulaziz University,Department of Mathematics, College of Arts and Sciences
[5] Cankaya University,Department of Mathematics
[6] Institute of Space Sciences,Department of Medical Research, China Medical University Hospital
[7] China Medical University,undefined
关键词
Functional-differential equations with fractional derivatives; Non-autonomous evolution equation; Fixed point theorems; 34K37; 34K35; 47H10;
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中图分类号
学科分类号
摘要
In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction. The obtained results are verified via a supporting example.
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