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http://dx.doi.org/10.14317/jami.2022.305

ANALYSIS OF SOLUTIONS FOR THE BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES  

KARTHIKEYAN, K. (Department of Mathematics & Centre for Research and Development, KPR Institute of Engineering and Technology)
RAJA, D. SENTHIL (Department of Mathematics, K.S.Rangasamy College of Technology)
SUNDARARAJAN, P. (Department of Mathematics, Arignar Anna Government Arts College)
Publication Information
Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 305-316 More about this Journal
Abstract
We study the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach's contraction principle and the Schauder's fixed point theorem. In addition, an example is given to demonstrate the application of our main results.
Keywords
Fractional order differential equations; boundary value problem; Caputo fractional derivative; fractional integral; fixed point;
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Times Cited By KSCI : 11  (Citation Analysis)
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