In this paper, we investigate the existence of solutions to abstract boundary value problems of fractional differential equations on $urn:x-wiley:mma:media:mma5819:mma5819-math-0001$ . The choice of the Banach space $urn:x-wiley:mma:media:mma5819:mma5819-math-0002$ allows the solutions to be unbounded. Our approach mainly depends on the technique of Hausdorff measure of noncompactness in conjunction with the criterion of compactness in $urn:x-wiley:mma:media:mma5819:mma5819-math-0003$ . Finally, an example in the Banach sequence space ℓ₁ is given to illustrate our results.

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There are no conflicts of interest to this work.

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Volume44, Issue10

Special Issue:Methods of Mathematics and Fractional Calculus

15 July 2021

Pages 8166-8176

Unbounded solutions to abstract boundary value problems of fractional differential equations on a half line

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Unbounded solutions to abstract boundary value problems of fractional differential equations on a half line

Abstract

CONFLICT OF INTEREST

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Citing Literature

References

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