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Your search keyword '"Abbas, Mohamed"' showing total 2 results
Start Over Author "Abbas, Mohamed" Search Limiters Full Text Topic boundary value problems Topic fractional differential equations
2 results on '"Abbas, Mohamed"'

1. CONTROLLABILITY AND HYERS-ULAM STABILITY RESULTS OF INITIAL VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS VIA GENERALIZED PROPORTIONAL-CAPUTO FRACTIONAL DERIVATIVE.

Author

ABBAS, MOHAMED I.

Subjects
*INITIAL value problems, *BOUNDARY value problems, *FRACTIONAL differential equations, *FRACTIONAL calculus, *CAPUTO fractional derivatives
Abstract

This paper concerns the investigation of controllability and Hyers-Ulam stability of initial value problems for fractional differential equations via generalized proportional-Caputo fractional derivatives. The main results are obtained by means of the Krasnoselskii's fixed point theorem. [ABSTRACT FROM AUTHOR]

Published
2021
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2. Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions.

Author

Abbas, Mohamed I.

Subjects
*EXISTENCE theorems, *UNIQUENESS (Mathematics), *FRACTIONAL differential equations, *RIEMANN hypothesis, *LIOUVILLE'S theorem, *BOUNDARY value problems
Abstract

We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results. [ABSTRACT FROM AUTHOR]

Published
2015
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