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“…Recently, Jumarie derived definitions for the fractional integral and derivative called modified Riemann-Liouville [30][31][32][33][34]. Some advantages can be cited to the modified…”
Section: Preliminaries and Fractional Projective Riccati Expansion Mementioning
confidence: 99%
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“…Recently, Jumarie derived definitions for the fractional integral and derivative called modified Riemann-Liouville [30][31][32][33][34]. Some advantages can be cited to the modified…”
Section: Preliminaries and Fractional Projective Riccati Expansion Mementioning
confidence: 99%
“…Moreover, El-Sabbagh et al extended the projective Riccati expansion method and get new solutions to NLPDEs by introducing the two deformation parameters p and q in the definition of the hyperbolic and trigonometric functions. In this paper, we introduce the fractional projective Riccati expansion method to solve FDEs with the modified Riemann-Liouville derivative defined by Jumarie [30][31][32][33][34].…”
Section: Introductionmentioning
confidence: 99%
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“…In fact, in [12] he gave several proofs of this relation. Analogous to the definition of cos x and sin x in terms of the exponential function, Jumarie defined cos α (x α ) and sin α (x α ) by…”
Section: Introductionmentioning
confidence: 99%
“…Cresson's, and Chen's fractal derivatives [14][15][16][17][18][19][20][21][22][23]. The purpose of using FDEs which is a powerful tool for the description of memory and hereditary properties of various materials and processes.…”
mentioning
confidence: 99%