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JournalISSN: 0022-247X

Journal of Mathematical Analysis and Applications

About: Journal of Mathematical Analysis and Applications is an academic journal. The journal publishes majorly in the area(s): Differential equation & Boundary value problem. It has an ISSN identifier of 0022-247X. Over the lifetime, 29185 publication(s) have been published receiving 548745 citation(s). more


Open accessJournal ArticleDOI: 10.1006/JMAA.2000.7194
Kai Diethelm1, Neville J. Ford2Institutions (2)
Abstract: We discuss existence, uniqueness, and structural stability of solutions of nonlinear differential equations of fractional order. The differential operators are taken in the Riemann–Liouville sense and the initial conditions are specified according to Caputo's suggestion, thus allowing for interpretation in a physically meaningful way. We investigate in particular the dependence of the solution on the order of the differential equation and on the initial condition, and we relate our results to the selection of appropriate numerical schemes for the solution of fractional differential equations. more

2,775 Citations

Open accessJournal ArticleDOI: 10.1016/0022-247X(68)90078-4
Lotfi A. Zadeh1Institutions (1)
Abstract: In probability theory [I], an event, A, is a member of a a-field, CY, of subsets of a sample space ~2. A probability measure, P, is a normed measure over a measurable space (Q, GY); that is, P is a real-valued function which assigns to every A in Gk’ a probability, P(A), such that (a) P(A) > 0 for all A E a, (b) P(Q) = 1; and (c) P is countably additive, i.e., if {Ai} is any collection of disjoint events, then more

2,268 Citations

Open accessJournal ArticleDOI: 10.1016/0022-247X(67)90189-8
Joseph A. Goguen1Institutions (1)
Topics: Type-2 fuzzy sets and systems (72%), Fuzzy set operations (71%), Defuzzification (70%) more

2,222 Citations

Open accessJournal ArticleDOI: 10.1016/0022-247X(74)90025-0
Ivar Ekeland1Institutions (1)
Abstract: The variational principle states that if a differentiable functional F attains its minimum at some point zi, then F’(C) = 0; it has proved a valuable tool for studying partial differential equations. This paper shows that if a differentiable function F has a finite lower bound (although it need not attain it), then, for every E > 0, there exists some point u( where 11 F’(uJj* < l , i.e., its derivative can be made arbitrarily small. Applications are given to Plateau’s problem, to partial differential equations, to nonlinear eigenvalues, to geodesics on infinite-dimensional manifolds, and to control theory. more

1,897 Citations

Open accessJournal ArticleDOI: 10.1016/0022-247X(68)90057-7
C.L Chang1Institutions (1)
Topics: Topological tensor product (69%), Topological space (66%), Topological vector space (65%) more

1,896 Citations

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Journal's top 5 most impactful authors

Hari M. Srivastava

58 papers, 1.4K citations

Richard Bellman

57 papers, 1.9K citations

Josip Pečarić

37 papers, 544 citations

Alexander G. Ramm

35 papers, 483 citations

Ravi P. Agarwal

32 papers, 1.2K citations

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