Geodesic
Result on Controllability of Hilfer fractional integro-differential equations of Sobolev-type with Non-instantaneous Impulses
Filomat, Tome 37 (2023) no. 29, p. 10033

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This paper is concerned with the existence and controllability results for a class of Hilfer fractional differential equations of Sobolev-type with non-instantaneous impulse in Banach space. In order to bring off the main results, the author used the theory of propagation family {P(τ)} τ≥0 (generated by the operator pair (A , R)), measure of non-compactness, and the fixed point methods. The primary goal of this study is to determine the controllability of a dynamical system without assuming that R −1 is a bounded operator, and no relationship between the domain of the operators A and R. At the end, we provide an example to illustrate the main results.
DOI : 10.2298/FIL2329033K
Classification : 34H05, 34K45, 93B05
Keywords: Exact controllability, Hilfer fractional derivative, Sadovskii’s fixed point theorem, Measure of noncompactness, Sobolev-type 
Parveen Kumar; Ramesh Kumar Vats; Ankit Kumar. Result on Controllability of Hilfer fractional integro-differential equations of Sobolev-type with Non-instantaneous Impulses. Filomat, Tome 37 (2023) no. 29, p. 10033 . doi: 10.2298/FIL2329033K
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     author = {Parveen Kumar and Ramesh Kumar Vats and Ankit Kumar},
     title = {Result on {Controllability} of {Hilfer} fractional integro-differential equations of {Sobolev-type} with {Non-instantaneous} {Impulses}},
     journal = {Filomat},
     pages = {10033 },
     year = {2023},
     volume = {37},
     number = {29},
     doi = {10.2298/FIL2329033K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329033K/}
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